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Simplifying 8(2x + 5) = 7(x + 3) + -15 Reorder the terms: 8(5 + 2x) = 7(x + 3) + -15 (5 * 8 + 2x * 8) = 7(x + 3) + -15 (40 + 16x) = 7(x + 3) + -15 Reorder the terms: 40 + 16x = 7(3 + x) + -15 40 + 16x = (3 * 7 + x * 7) + -15 40 + 16x = (21 + 7x) + -15 Reorder the terms: 40 + 16x = 21 + -15 + 7x Combine like terms: 21 + -15 = 6 40 + 16x = 6 + 7x Solving 40 + 16x = 6 + 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. 40 + 16x + -7x = 6 + 7x + -7x Combine like terms: 16x + -7x = 9x 40 + 9x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + 9x = 6 + 0 40 + 9x = 6 Add '-40' to each side of the equation. 40 + -40 + 9x = 6 + -40 Combine like terms: 40 + -40 = 0 0 + 9x = 6 + -40 9x = 6 + -40 Combine like terms: 6 + -40 = -34 9x = -34 Divide each side by '9'. x = -3.777777778 Simplifying x = -3.777777778
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