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Simplifying 5(x + 7) = 8x + 62 Reorder the terms: 5(7 + x) = 8x + 62 (7 * 5 + x * 5) = 8x + 62 (35 + 5x) = 8x + 62 Reorder the terms: 35 + 5x = 62 + 8x Solving 35 + 5x = 62 + 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. 35 + 5x + -8x = 62 + 8x + -8x Combine like terms: 5x + -8x = -3x 35 + -3x = 62 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + -3x = 62 + 0 35 + -3x = 62 Add '-35' to each side of the equation. 35 + -35 + -3x = 62 + -35 Combine like terms: 35 + -35 = 0 0 + -3x = 62 + -35 -3x = 62 + -35 Combine like terms: 62 + -35 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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