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Simplifying -5x + 8 = 7(x + 8) Reorder the terms: 8 + -5x = 7(x + 8) Reorder the terms: 8 + -5x = 7(8 + x) 8 + -5x = (8 * 7 + x * 7) 8 + -5x = (56 + 7x) Solving 8 + -5x = 56 + 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. 8 + -5x + -7x = 56 + 7x + -7x Combine like terms: -5x + -7x = -12x 8 + -12x = 56 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -12x = 56 + 0 8 + -12x = 56 Add '-8' to each side of the equation. 8 + -8 + -12x = 56 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = 56 + -8 -12x = 56 + -8 Combine like terms: 56 + -8 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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