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Simplifying 2(x + -4) + -3(2x + -5) = 5x + 7 Reorder the terms: 2(-4 + x) + -3(2x + -5) = 5x + 7 (-4 * 2 + x * 2) + -3(2x + -5) = 5x + 7 (-8 + 2x) + -3(2x + -5) = 5x + 7 Reorder the terms: -8 + 2x + -3(-5 + 2x) = 5x + 7 -8 + 2x + (-5 * -3 + 2x * -3) = 5x + 7 -8 + 2x + (15 + -6x) = 5x + 7 Reorder the terms: -8 + 15 + 2x + -6x = 5x + 7 Combine like terms: -8 + 15 = 7 7 + 2x + -6x = 5x + 7 Combine like terms: 2x + -6x = -4x 7 + -4x = 5x + 7 Reorder the terms: 7 + -4x = 7 + 5x Add '-7' to each side of the equation. 7 + -7 + -4x = 7 + -7 + 5x Combine like terms: 7 + -7 = 0 0 + -4x = 7 + -7 + 5x -4x = 7 + -7 + 5x Combine like terms: 7 + -7 = 0 -4x = 0 + 5x -4x = 5x Solving -4x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4x + -5x = 5x + -5x Combine like terms: -4x + -5x = -9x -9x = 5x + -5x Combine like terms: 5x + -5x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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