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Simplifying 5(x + -2) + -3(2x + -5) = 4x Reorder the terms: 5(-2 + x) + -3(2x + -5) = 4x (-2 * 5 + x * 5) + -3(2x + -5) = 4x (-10 + 5x) + -3(2x + -5) = 4x Reorder the terms: -10 + 5x + -3(-5 + 2x) = 4x -10 + 5x + (-5 * -3 + 2x * -3) = 4x -10 + 5x + (15 + -6x) = 4x Reorder the terms: -10 + 15 + 5x + -6x = 4x Combine like terms: -10 + 15 = 5 5 + 5x + -6x = 4x Combine like terms: 5x + -6x = -1x 5 + -1x = 4x Solving 5 + -1x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + -1x + -4x = 4x + -4x Combine like terms: -1x + -4x = -5x 5 + -5x = 4x + -4x Combine like terms: 4x + -4x = 0 5 + -5x = 0 Add '-5' to each side of the equation. 5 + -5 + -5x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = 0 + -5 -5x = 0 + -5 Combine like terms: 0 + -5 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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