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Simplifying 12x + -7 + 5 = 8(2x + 1) + x + -8 Reorder the terms: -7 + 5 + 12x = 8(2x + 1) + x + -8 Combine like terms: -7 + 5 = -2 -2 + 12x = 8(2x + 1) + x + -8 Reorder the terms: -2 + 12x = 8(1 + 2x) + x + -8 -2 + 12x = (1 * 8 + 2x * 8) + x + -8 -2 + 12x = (8 + 16x) + x + -8 Reorder the terms: -2 + 12x = 8 + -8 + 16x + x Combine like terms: 8 + -8 = 0 -2 + 12x = 0 + 16x + x -2 + 12x = 16x + x Combine like terms: 16x + x = 17x -2 + 12x = 17x Solving -2 + 12x = 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -2 + 12x + -17x = 17x + -17x Combine like terms: 12x + -17x = -5x -2 + -5x = 17x + -17x Combine like terms: 17x + -17x = 0 -2 + -5x = 0 Add '2' to each side of the equation. -2 + 2 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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