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Simplifying 5(-1x + 3) + 3(x + -2) = 0 Reorder the terms: 5(3 + -1x) + 3(x + -2) = 0 (3 * 5 + -1x * 5) + 3(x + -2) = 0 (15 + -5x) + 3(x + -2) = 0 Reorder the terms: 15 + -5x + 3(-2 + x) = 0 15 + -5x + (-2 * 3 + x * 3) = 0 15 + -5x + (-6 + 3x) = 0 Reorder the terms: 15 + -6 + -5x + 3x = 0 Combine like terms: 15 + -6 = 9 9 + -5x + 3x = 0 Combine like terms: -5x + 3x = -2x 9 + -2x = 0 Solving 9 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5
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