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Simplifying 4(5x + -2) + -5(3x + -7) = 4x + 2 Reorder the terms: 4(-2 + 5x) + -5(3x + -7) = 4x + 2 (-2 * 4 + 5x * 4) + -5(3x + -7) = 4x + 2 (-8 + 20x) + -5(3x + -7) = 4x + 2 Reorder the terms: -8 + 20x + -5(-7 + 3x) = 4x + 2 -8 + 20x + (-7 * -5 + 3x * -5) = 4x + 2 -8 + 20x + (35 + -15x) = 4x + 2 Reorder the terms: -8 + 35 + 20x + -15x = 4x + 2 Combine like terms: -8 + 35 = 27 27 + 20x + -15x = 4x + 2 Combine like terms: 20x + -15x = 5x 27 + 5x = 4x + 2 Reorder the terms: 27 + 5x = 2 + 4x Solving 27 + 5x = 2 + 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. 27 + 5x + -4x = 2 + 4x + -4x Combine like terms: 5x + -4x = 1x 27 + 1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + 1x = 2 + 0 27 + 1x = 2 Add '-27' to each side of the equation. 27 + -27 + 1x = 2 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 2 + -27 1x = 2 + -27 Combine like terms: 2 + -27 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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