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Simplifying 2(5x + -3) + -3(4x + -7) = 0 Reorder the terms: 2(-3 + 5x) + -3(4x + -7) = 0 (-3 * 2 + 5x * 2) + -3(4x + -7) = 0 (-6 + 10x) + -3(4x + -7) = 0 Reorder the terms: -6 + 10x + -3(-7 + 4x) = 0 -6 + 10x + (-7 * -3 + 4x * -3) = 0 -6 + 10x + (21 + -12x) = 0 Reorder the terms: -6 + 21 + 10x + -12x = 0 Combine like terms: -6 + 21 = 15 15 + 10x + -12x = 0 Combine like terms: 10x + -12x = -2x 15 + -2x = 0 Solving 15 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5
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