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Simplifying 8(x + 1) = 12x + -10 Reorder the terms: 8(1 + x) = 12x + -10 (1 * 8 + x * 8) = 12x + -10 (8 + 8x) = 12x + -10 Reorder the terms: 8 + 8x = -10 + 12x Solving 8 + 8x = -10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 8x + -12x = -10 + 12x + -12x Combine like terms: 8x + -12x = -4x 8 + -4x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -4x = -10 + 0 8 + -4x = -10 Add '-8' to each side of the equation. 8 + -8 + -4x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -10 + -8 -4x = -10 + -8 Combine like terms: -10 + -8 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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