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Simplifying -5(2x + 5) = -8(x + -5) + 3x Reorder the terms: -5(5 + 2x) = -8(x + -5) + 3x (5 * -5 + 2x * -5) = -8(x + -5) + 3x (-25 + -10x) = -8(x + -5) + 3x Reorder the terms: -25 + -10x = -8(-5 + x) + 3x -25 + -10x = (-5 * -8 + x * -8) + 3x -25 + -10x = (40 + -8x) + 3x Combine like terms: -8x + 3x = -5x -25 + -10x = 40 + -5x Solving -25 + -10x = 40 + -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. -25 + -10x + 5x = 40 + -5x + 5x Combine like terms: -10x + 5x = -5x -25 + -5x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 -25 + -5x = 40 + 0 -25 + -5x = 40 Add '25' to each side of the equation. -25 + 25 + -5x = 40 + 25 Combine like terms: -25 + 25 = 0 0 + -5x = 40 + 25 -5x = 40 + 25 Combine like terms: 40 + 25 = 65 -5x = 65 Divide each side by '-5'. x = -13 Simplifying x = -13
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