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Simplifying 15(2x + 3) = 2(x + 8) + -3 Reorder the terms: 15(3 + 2x) = 2(x + 8) + -3 (3 * 15 + 2x * 15) = 2(x + 8) + -3 (45 + 30x) = 2(x + 8) + -3 Reorder the terms: 45 + 30x = 2(8 + x) + -3 45 + 30x = (8 * 2 + x * 2) + -3 45 + 30x = (16 + 2x) + -3 Reorder the terms: 45 + 30x = 16 + -3 + 2x Combine like terms: 16 + -3 = 13 45 + 30x = 13 + 2x Solving 45 + 30x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 45 + 30x + -2x = 13 + 2x + -2x Combine like terms: 30x + -2x = 28x 45 + 28x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 28x = 13 + 0 45 + 28x = 13 Add '-45' to each side of the equation. 45 + -45 + 28x = 13 + -45 Combine like terms: 45 + -45 = 0 0 + 28x = 13 + -45 28x = 13 + -45 Combine like terms: 13 + -45 = -32 28x = -32 Divide each side by '28'. x = -1.142857143 Simplifying x = -1.142857143
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