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Simplifying 5 + -3(x + -4) + 2(x + -5) = 0 Reorder the terms: 5 + -3(-4 + x) + 2(x + -5) = 0 5 + (-4 * -3 + x * -3) + 2(x + -5) = 0 5 + (12 + -3x) + 2(x + -5) = 0 Reorder the terms: 5 + 12 + -3x + 2(-5 + x) = 0 5 + 12 + -3x + (-5 * 2 + x * 2) = 0 5 + 12 + -3x + (-10 + 2x) = 0 Reorder the terms: 5 + 12 + -10 + -3x + 2x = 0 Combine like terms: 5 + 12 = 17 17 + -10 + -3x + 2x = 0 Combine like terms: 17 + -10 = 7 7 + -3x + 2x = 0 Combine like terms: -3x + 2x = -1x 7 + -1x = 0 Solving 7 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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