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Simplifying 12(x + 2) + -4(x + 1) = 5(2x + -1) Reorder the terms: 12(2 + x) + -4(x + 1) = 5(2x + -1) (2 * 12 + x * 12) + -4(x + 1) = 5(2x + -1) (24 + 12x) + -4(x + 1) = 5(2x + -1) Reorder the terms: 24 + 12x + -4(1 + x) = 5(2x + -1) 24 + 12x + (1 * -4 + x * -4) = 5(2x + -1) 24 + 12x + (-4 + -4x) = 5(2x + -1) Reorder the terms: 24 + -4 + 12x + -4x = 5(2x + -1) Combine like terms: 24 + -4 = 20 20 + 12x + -4x = 5(2x + -1) Combine like terms: 12x + -4x = 8x 20 + 8x = 5(2x + -1) Reorder the terms: 20 + 8x = 5(-1 + 2x) 20 + 8x = (-1 * 5 + 2x * 5) 20 + 8x = (-5 + 10x) Solving 20 + 8x = -5 + 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. 20 + 8x + -10x = -5 + 10x + -10x Combine like terms: 8x + -10x = -2x 20 + -2x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + -2x = -5 + 0 20 + -2x = -5 Add '-20' to each side of the equation. 20 + -20 + -2x = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = -5 + -20 -2x = -5 + -20 Combine like terms: -5 + -20 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5
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