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Simplifying 5(3x + 8) + -3(4x + -7) = 0 Reorder the terms: 5(8 + 3x) + -3(4x + -7) = 0 (8 * 5 + 3x * 5) + -3(4x + -7) = 0 (40 + 15x) + -3(4x + -7) = 0 Reorder the terms: 40 + 15x + -3(-7 + 4x) = 0 40 + 15x + (-7 * -3 + 4x * -3) = 0 40 + 15x + (21 + -12x) = 0 Reorder the terms: 40 + 21 + 15x + -12x = 0 Combine like terms: 40 + 21 = 61 61 + 15x + -12x = 0 Combine like terms: 15x + -12x = 3x 61 + 3x = 0 Solving 61 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 3x = 0 + -61 Combine like terms: 61 + -61 = 0 0 + 3x = 0 + -61 3x = 0 + -61 Combine like terms: 0 + -61 = -61 3x = -61 Divide each side by '3'. x = -20.33333333 Simplifying x = -20.33333333
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