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Simplifying 5(3x + 4) + 8(5 + -2x) = 0 Reorder the terms: 5(4 + 3x) + 8(5 + -2x) = 0 (4 * 5 + 3x * 5) + 8(5 + -2x) = 0 (20 + 15x) + 8(5 + -2x) = 0 20 + 15x + (5 * 8 + -2x * 8) = 0 20 + 15x + (40 + -16x) = 0 Reorder the terms: 20 + 40 + 15x + -16x = 0 Combine like terms: 20 + 40 = 60 60 + 15x + -16x = 0 Combine like terms: 15x + -16x = -1x 60 + -1x = 0 Solving 60 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60
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