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Simplifying 4x + -3(x + -5) = 7x + -5(x + 5) Reorder the terms: 4x + -3(-5 + x) = 7x + -5(x + 5) 4x + (-5 * -3 + x * -3) = 7x + -5(x + 5) 4x + (15 + -3x) = 7x + -5(x + 5) Reorder the terms: 15 + 4x + -3x = 7x + -5(x + 5) Combine like terms: 4x + -3x = 1x 15 + 1x = 7x + -5(x + 5) Reorder the terms: 15 + 1x = 7x + -5(5 + x) 15 + 1x = 7x + (5 * -5 + x * -5) 15 + 1x = 7x + (-25 + -5x) Reorder the terms: 15 + 1x = -25 + 7x + -5x Combine like terms: 7x + -5x = 2x 15 + 1x = -25 + 2x Solving 15 + 1x = -25 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 1x + -2x = -25 + 2x + -2x Combine like terms: 1x + -2x = -1x 15 + -1x = -25 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -1x = -25 + 0 15 + -1x = -25 Add '-15' to each side of the equation. 15 + -15 + -1x = -25 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = -25 + -15 -1x = -25 + -15 Combine like terms: -25 + -15 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40
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