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