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Simplifying -5(2x + 5) + 8x = 3(x + 4) Reorder the terms: -5(5 + 2x) + 8x = 3(x + 4) (5 * -5 + 2x * -5) + 8x = 3(x + 4) (-25 + -10x) + 8x = 3(x + 4) Combine like terms: -10x + 8x = -2x -25 + -2x = 3(x + 4) Reorder the terms: -25 + -2x = 3(4 + x) -25 + -2x = (4 * 3 + x * 3) -25 + -2x = (12 + 3x) Solving -25 + -2x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -25 + -2x + -3x = 12 + 3x + -3x Combine like terms: -2x + -3x = -5x -25 + -5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + -5x = 12 + 0 -25 + -5x = 12 Add '25' to each side of the equation. -25 + 25 + -5x = 12 + 25 Combine like terms: -25 + 25 = 0 0 + -5x = 12 + 25 -5x = 12 + 25 Combine like terms: 12 + 25 = 37 -5x = 37 Divide each side by '-5'. x = -7.4 Simplifying x = -7.4
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