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Simplifying -5(3x + -3) + 2(4x + -3) = 0 Reorder the terms: -5(-3 + 3x) + 2(4x + -3) = 0 (-3 * -5 + 3x * -5) + 2(4x + -3) = 0 (15 + -15x) + 2(4x + -3) = 0 Reorder the terms: 15 + -15x + 2(-3 + 4x) = 0 15 + -15x + (-3 * 2 + 4x * 2) = 0 15 + -15x + (-6 + 8x) = 0 Reorder the terms: 15 + -6 + -15x + 8x = 0 Combine like terms: 15 + -6 = 9 9 + -15x + 8x = 0 Combine like terms: -15x + 8x = -7x 9 + -7x = 0 Solving 9 + -7x = 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 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0 + -9 -7x = 0 + -9 Combine like terms: 0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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