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Simplifying 4(-4x + 6) = -6(1 + 2x) + -1x Reorder the terms: 4(6 + -4x) = -6(1 + 2x) + -1x (6 * 4 + -4x * 4) = -6(1 + 2x) + -1x (24 + -16x) = -6(1 + 2x) + -1x 24 + -16x = (1 * -6 + 2x * -6) + -1x 24 + -16x = (-6 + -12x) + -1x Combine like terms: -12x + -1x = -13x 24 + -16x = -6 + -13x Solving 24 + -16x = -6 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 24 + -16x + 13x = -6 + -13x + 13x Combine like terms: -16x + 13x = -3x 24 + -3x = -6 + -13x + 13x Combine like terms: -13x + 13x = 0 24 + -3x = -6 + 0 24 + -3x = -6 Add '-24' to each side of the equation. 24 + -24 + -3x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = -6 + -24 -3x = -6 + -24 Combine like terms: -6 + -24 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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