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Simplifying 8(x + 9) + -4(4x + -2) = 15 Reorder the terms: 8(9 + x) + -4(4x + -2) = 15 (9 * 8 + x * 8) + -4(4x + -2) = 15 (72 + 8x) + -4(4x + -2) = 15 Reorder the terms: 72 + 8x + -4(-2 + 4x) = 15 72 + 8x + (-2 * -4 + 4x * -4) = 15 72 + 8x + (8 + -16x) = 15 Reorder the terms: 72 + 8 + 8x + -16x = 15 Combine like terms: 72 + 8 = 80 80 + 8x + -16x = 15 Combine like terms: 8x + -16x = -8x 80 + -8x = 15 Solving 80 + -8x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -8x = 15 + -80 Combine like terms: 80 + -80 = 0 0 + -8x = 15 + -80 -8x = 15 + -80 Combine like terms: 15 + -80 = -65 -8x = -65 Divide each side by '-8'. x = 8.125 Simplifying x = 8.125
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