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Simplifying 6(x + -1) + x(29 + x) = x(x + -4) + -5(2 + -3x) + -1x + 54 Reorder the terms: 6(-1 + x) + x(29 + x) = x(x + -4) + -5(2 + -3x) + -1x + 54 (-1 * 6 + x * 6) + x(29 + x) = x(x + -4) + -5(2 + -3x) + -1x + 54 (-6 + 6x) + x(29 + x) = x(x + -4) + -5(2 + -3x) + -1x + 54 -6 + 6x + (29 * x + x * x) = x(x + -4) + -5(2 + -3x) + -1x + 54 -6 + 6x + (29x + x2) = x(x + -4) + -5(2 + -3x) + -1x + 54 Combine like terms: 6x + 29x = 35x -6 + 35x + x2 = x(x + -4) + -5(2 + -3x) + -1x + 54 Reorder the terms: -6 + 35x + x2 = x(-4 + x) + -5(2 + -3x) + -1x + 54 -6 + 35x + x2 = (-4 * x + x * x) + -5(2 + -3x) + -1x + 54 -6 + 35x + x2 = (-4x + x2) + -5(2 + -3x) + -1x + 54 -6 + 35x + x2 = -4x + x2 + (2 * -5 + -3x * -5) + -1x + 54 -6 + 35x + x2 = -4x + x2 + (-10 + 15x) + -1x + 54 Reorder the terms: -6 + 35x + x2 = -10 + 54 + -4x + 15x + -1x + x2 Combine like terms: -10 + 54 = 44 -6 + 35x + x2 = 44 + -4x + 15x + -1x + x2 Combine like terms: -4x + 15x = 11x -6 + 35x + x2 = 44 + 11x + -1x + x2 Combine like terms: 11x + -1x = 10x -6 + 35x + x2 = 44 + 10x + x2 Add '-1x2' to each side of the equation. -6 + 35x + x2 + -1x2 = 44 + 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 35x + 0 = 44 + 10x + x2 + -1x2 -6 + 35x = 44 + 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 35x = 44 + 10x + 0 -6 + 35x = 44 + 10x Solving -6 + 35x = 44 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 35x + -10x = 44 + 10x + -10x Combine like terms: 35x + -10x = 25x -6 + 25x = 44 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 25x = 44 + 0 -6 + 25x = 44 Add '6' to each side of the equation. -6 + 6 + 25x = 44 + 6 Combine like terms: -6 + 6 = 0 0 + 25x = 44 + 6 25x = 44 + 6 Combine like terms: 44 + 6 = 50 25x = 50 Divide each side by '25'. x = 2 Simplifying x = 2
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