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Simplifying 4(2x + -25) = 3(x + 15) Reorder the terms: 4(-25 + 2x) = 3(x + 15) (-25 * 4 + 2x * 4) = 3(x + 15) (-100 + 8x) = 3(x + 15) Reorder the terms: -100 + 8x = 3(15 + x) -100 + 8x = (15 * 3 + x * 3) -100 + 8x = (45 + 3x) Solving -100 + 8x = 45 + 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. -100 + 8x + -3x = 45 + 3x + -3x Combine like terms: 8x + -3x = 5x -100 + 5x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 -100 + 5x = 45 + 0 -100 + 5x = 45 Add '100' to each side of the equation. -100 + 100 + 5x = 45 + 100 Combine like terms: -100 + 100 = 0 0 + 5x = 45 + 100 5x = 45 + 100 Combine like terms: 45 + 100 = 145 5x = 145 Divide each side by '5'. x = 29 Simplifying x = 29
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