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Simplifying 12(x + 1) + -4(x + 1) = 40 Reorder the terms: 12(1 + x) + -4(x + 1) = 40 (1 * 12 + x * 12) + -4(x + 1) = 40 (12 + 12x) + -4(x + 1) = 40 Reorder the terms: 12 + 12x + -4(1 + x) = 40 12 + 12x + (1 * -4 + x * -4) = 40 12 + 12x + (-4 + -4x) = 40 Reorder the terms: 12 + -4 + 12x + -4x = 40 Combine like terms: 12 + -4 = 8 8 + 12x + -4x = 40 Combine like terms: 12x + -4x = 8x 8 + 8x = 40 Solving 8 + 8x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 40 + -8 8x = 40 + -8 Combine like terms: 40 + -8 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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