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Simplifying 7x + 15 = 8(5x + 6) Reorder the terms: 15 + 7x = 8(5x + 6) Reorder the terms: 15 + 7x = 8(6 + 5x) 15 + 7x = (6 * 8 + 5x * 8) 15 + 7x = (48 + 40x) Solving 15 + 7x = 48 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 15 + 7x + -40x = 48 + 40x + -40x Combine like terms: 7x + -40x = -33x 15 + -33x = 48 + 40x + -40x Combine like terms: 40x + -40x = 0 15 + -33x = 48 + 0 15 + -33x = 48 Add '-15' to each side of the equation. 15 + -15 + -33x = 48 + -15 Combine like terms: 15 + -15 = 0 0 + -33x = 48 + -15 -33x = 48 + -15 Combine like terms: 48 + -15 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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