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Simplifying 4(3 + -1x) = 2(-1x + -5) (3 * 4 + -1x * 4) = 2(-1x + -5) (12 + -4x) = 2(-1x + -5) Reorder the terms: 12 + -4x = 2(-5 + -1x) 12 + -4x = (-5 * 2 + -1x * 2) 12 + -4x = (-10 + -2x) Solving 12 + -4x = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + -4x + 2x = -10 + -2x + 2x Combine like terms: -4x + 2x = -2x 12 + -2x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -2x = -10 + 0 12 + -2x = -10 Add '-12' to each side of the equation. 12 + -12 + -2x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -10 + -12 -2x = -10 + -12 Combine like terms: -10 + -12 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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