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Simplifying 6 + -1(4x + -6) = 2(2x + -5) + -3x Reorder the terms: 6 + -1(-6 + 4x) = 2(2x + -5) + -3x 6 + (-6 * -1 + 4x * -1) = 2(2x + -5) + -3x 6 + (6 + -4x) = 2(2x + -5) + -3x Combine like terms: 6 + 6 = 12 12 + -4x = 2(2x + -5) + -3x Reorder the terms: 12 + -4x = 2(-5 + 2x) + -3x 12 + -4x = (-5 * 2 + 2x * 2) + -3x 12 + -4x = (-10 + 4x) + -3x Combine like terms: 4x + -3x = 1x 12 + -4x = -10 + 1x Solving 12 + -4x = -10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + -4x + -1x = -10 + 1x + -1x Combine like terms: -4x + -1x = -5x 12 + -5x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + -5x = -10 + 0 12 + -5x = -10 Add '-12' to each side of the equation. 12 + -12 + -5x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -10 + -12 -5x = -10 + -12 Combine like terms: -10 + -12 = -22 -5x = -22 Divide each side by '-5'. x = 4.4 Simplifying x = 4.4
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