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Simplifying 5(x + 7) + -7(4x + -9) = 15 Reorder the terms: 5(7 + x) + -7(4x + -9) = 15 (7 * 5 + x * 5) + -7(4x + -9) = 15 (35 + 5x) + -7(4x + -9) = 15 Reorder the terms: 35 + 5x + -7(-9 + 4x) = 15 35 + 5x + (-9 * -7 + 4x * -7) = 15 35 + 5x + (63 + -28x) = 15 Reorder the terms: 35 + 63 + 5x + -28x = 15 Combine like terms: 35 + 63 = 98 98 + 5x + -28x = 15 Combine like terms: 5x + -28x = -23x 98 + -23x = 15 Solving 98 + -23x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-98' to each side of the equation. 98 + -98 + -23x = 15 + -98 Combine like terms: 98 + -98 = 0 0 + -23x = 15 + -98 -23x = 15 + -98 Combine like terms: 15 + -98 = -83 -23x = -83 Divide each side by '-23'. x = 3.608695652 Simplifying x = 3.608695652
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