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Simplifying 11x + -2 + x + -4 = -4(4x + -10) + -3(3 + 3x) Reorder the terms: -2 + -4 + 11x + x = -4(4x + -10) + -3(3 + 3x) Combine like terms: -2 + -4 = -6 -6 + 11x + x = -4(4x + -10) + -3(3 + 3x) Combine like terms: 11x + x = 12x -6 + 12x = -4(4x + -10) + -3(3 + 3x) Reorder the terms: -6 + 12x = -4(-10 + 4x) + -3(3 + 3x) -6 + 12x = (-10 * -4 + 4x * -4) + -3(3 + 3x) -6 + 12x = (40 + -16x) + -3(3 + 3x) -6 + 12x = 40 + -16x + (3 * -3 + 3x * -3) -6 + 12x = 40 + -16x + (-9 + -9x) Reorder the terms: -6 + 12x = 40 + -9 + -16x + -9x Combine like terms: 40 + -9 = 31 -6 + 12x = 31 + -16x + -9x Combine like terms: -16x + -9x = -25x -6 + 12x = 31 + -25x Solving -6 + 12x = 31 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -6 + 12x + 25x = 31 + -25x + 25x Combine like terms: 12x + 25x = 37x -6 + 37x = 31 + -25x + 25x Combine like terms: -25x + 25x = 0 -6 + 37x = 31 + 0 -6 + 37x = 31 Add '6' to each side of the equation. -6 + 6 + 37x = 31 + 6 Combine like terms: -6 + 6 = 0 0 + 37x = 31 + 6 37x = 31 + 6 Combine like terms: 31 + 6 = 37 37x = 37 Divide each side by '37'. x = 1 Simplifying x = 1
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