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Simplifying 4(3x + -1) + -1(6x + -5) = 5x + -2(x + 1) Reorder the terms: 4(-1 + 3x) + -1(6x + -5) = 5x + -2(x + 1) (-1 * 4 + 3x * 4) + -1(6x + -5) = 5x + -2(x + 1) (-4 + 12x) + -1(6x + -5) = 5x + -2(x + 1) Reorder the terms: -4 + 12x + -1(-5 + 6x) = 5x + -2(x + 1) -4 + 12x + (-5 * -1 + 6x * -1) = 5x + -2(x + 1) -4 + 12x + (5 + -6x) = 5x + -2(x + 1) Reorder the terms: -4 + 5 + 12x + -6x = 5x + -2(x + 1) Combine like terms: -4 + 5 = 1 1 + 12x + -6x = 5x + -2(x + 1) Combine like terms: 12x + -6x = 6x 1 + 6x = 5x + -2(x + 1) Reorder the terms: 1 + 6x = 5x + -2(1 + x) 1 + 6x = 5x + (1 * -2 + x * -2) 1 + 6x = 5x + (-2 + -2x) Reorder the terms: 1 + 6x = -2 + 5x + -2x Combine like terms: 5x + -2x = 3x 1 + 6x = -2 + 3x Solving 1 + 6x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 6x + -3x = -2 + 3x + -3x Combine like terms: 6x + -3x = 3x 1 + 3x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 3x = -2 + 0 1 + 3x = -2 Add '-1' to each side of the equation. 1 + -1 + 3x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -2 + -1 3x = -2 + -1 Combine like terms: -2 + -1 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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