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Simplifying 2(x + -1) + 8 = 7(x + 12) Reorder the terms: 2(-1 + x) + 8 = 7(x + 12) (-1 * 2 + x * 2) + 8 = 7(x + 12) (-2 + 2x) + 8 = 7(x + 12) Reorder the terms: -2 + 8 + 2x = 7(x + 12) Combine like terms: -2 + 8 = 6 6 + 2x = 7(x + 12) Reorder the terms: 6 + 2x = 7(12 + x) 6 + 2x = (12 * 7 + x * 7) 6 + 2x = (84 + 7x) Solving 6 + 2x = 84 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 2x + -7x = 84 + 7x + -7x Combine like terms: 2x + -7x = -5x 6 + -5x = 84 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -5x = 84 + 0 6 + -5x = 84 Add '-6' to each side of the equation. 6 + -6 + -5x = 84 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 84 + -6 -5x = 84 + -6 Combine like terms: 84 + -6 = 78 -5x = 78 Divide each side by '-5'. x = -15.6 Simplifying x = -15.6
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