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Simplifying 2(x + -6) + -8 = 29 + -5x Reorder the terms: 2(-6 + x) + -8 = 29 + -5x (-6 * 2 + x * 2) + -8 = 29 + -5x (-12 + 2x) + -8 = 29 + -5x Reorder the terms: -12 + -8 + 2x = 29 + -5x Combine like terms: -12 + -8 = -20 -20 + 2x = 29 + -5x Solving -20 + 2x = 29 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -20 + 2x + 5x = 29 + -5x + 5x Combine like terms: 2x + 5x = 7x -20 + 7x = 29 + -5x + 5x Combine like terms: -5x + 5x = 0 -20 + 7x = 29 + 0 -20 + 7x = 29 Add '20' to each side of the equation. -20 + 20 + 7x = 29 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = 29 + 20 7x = 29 + 20 Combine like terms: 29 + 20 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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