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Simplifying 5x + 7 = 8(x + -1) Reorder the terms: 7 + 5x = 8(x + -1) Reorder the terms: 7 + 5x = 8(-1 + x) 7 + 5x = (-1 * 8 + x * 8) 7 + 5x = (-8 + 8x) Solving 7 + 5x = -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. 7 + 5x + -8x = -8 + 8x + -8x Combine like terms: 5x + -8x = -3x 7 + -3x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -3x = -8 + 0 7 + -3x = -8 Add '-7' to each side of the equation. 7 + -7 + -3x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -8 + -7 -3x = -8 + -7 Combine like terms: -8 + -7 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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