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Simplifying -8(2x + -4) + 7(3 + 5x) = 0 Reorder the terms: -8(-4 + 2x) + 7(3 + 5x) = 0 (-4 * -8 + 2x * -8) + 7(3 + 5x) = 0 (32 + -16x) + 7(3 + 5x) = 0 32 + -16x + (3 * 7 + 5x * 7) = 0 32 + -16x + (21 + 35x) = 0 Reorder the terms: 32 + 21 + -16x + 35x = 0 Combine like terms: 32 + 21 = 53 53 + -16x + 35x = 0 Combine like terms: -16x + 35x = 19x 53 + 19x = 0 Solving 53 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 19x = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 19x = 0 + -53 19x = 0 + -53 Combine like terms: 0 + -53 = -53 19x = -53 Divide each side by '19'. x = -2.789473684 Simplifying x = -2.789473684
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