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Simplifying 4 + -2(x + 1) = 5(2x + -12) Reorder the terms: 4 + -2(1 + x) = 5(2x + -12) 4 + (1 * -2 + x * -2) = 5(2x + -12) 4 + (-2 + -2x) = 5(2x + -12) Combine like terms: 4 + -2 = 2 2 + -2x = 5(2x + -12) Reorder the terms: 2 + -2x = 5(-12 + 2x) 2 + -2x = (-12 * 5 + 2x * 5) 2 + -2x = (-60 + 10x) Solving 2 + -2x = -60 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + -2x + -10x = -60 + 10x + -10x Combine like terms: -2x + -10x = -12x 2 + -12x = -60 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -12x = -60 + 0 2 + -12x = -60 Add '-2' to each side of the equation. 2 + -2 + -12x = -60 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = -60 + -2 -12x = -60 + -2 Combine like terms: -60 + -2 = -62 -12x = -62 Divide each side by '-12'. x = 5.166666667 Simplifying x = 5.166666667
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