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Simplifying -4(2x + -3) + x = -2(2x + -9) Reorder the terms: -4(-3 + 2x) + x = -2(2x + -9) (-3 * -4 + 2x * -4) + x = -2(2x + -9) (12 + -8x) + x = -2(2x + -9) Combine like terms: -8x + x = -7x 12 + -7x = -2(2x + -9) Reorder the terms: 12 + -7x = -2(-9 + 2x) 12 + -7x = (-9 * -2 + 2x * -2) 12 + -7x = (18 + -4x) Solving 12 + -7x = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + -7x + 4x = 18 + -4x + 4x Combine like terms: -7x + 4x = -3x 12 + -3x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + -3x = 18 + 0 12 + -3x = 18 Add '-12' to each side of the equation. 12 + -12 + -3x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 18 + -12 -3x = 18 + -12 Combine like terms: 18 + -12 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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