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