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Simplifying 1 + 3(x + -4) + -5(2x + -5) = 0 Reorder the terms: 1 + 3(-4 + x) + -5(2x + -5) = 0 1 + (-4 * 3 + x * 3) + -5(2x + -5) = 0 1 + (-12 + 3x) + -5(2x + -5) = 0 Reorder the terms: 1 + -12 + 3x + -5(-5 + 2x) = 0 1 + -12 + 3x + (-5 * -5 + 2x * -5) = 0 1 + -12 + 3x + (25 + -10x) = 0 Reorder the terms: 1 + -12 + 25 + 3x + -10x = 0 Combine like terms: 1 + -12 = -11 -11 + 25 + 3x + -10x = 0 Combine like terms: -11 + 25 = 14 14 + 3x + -10x = 0 Combine like terms: 3x + -10x = -7x 14 + -7x = 0 Solving 14 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -7x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = 0 + -14 -7x = 0 + -14 Combine like terms: 0 + -14 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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