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Simplifying -5(2x + -3) + 3(x + -4) = 0 Reorder the terms: -5(-3 + 2x) + 3(x + -4) = 0 (-3 * -5 + 2x * -5) + 3(x + -4) = 0 (15 + -10x) + 3(x + -4) = 0 Reorder the terms: 15 + -10x + 3(-4 + x) = 0 15 + -10x + (-4 * 3 + x * 3) = 0 15 + -10x + (-12 + 3x) = 0 Reorder the terms: 15 + -12 + -10x + 3x = 0 Combine like terms: 15 + -12 = 3 3 + -10x + 3x = 0 Combine like terms: -10x + 3x = -7x 3 + -7x = 0 Solving 3 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286
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