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Simplifying 5x + 3(x + -5) = 8x + -3(x + 4) Reorder the terms: 5x + 3(-5 + x) = 8x + -3(x + 4) 5x + (-5 * 3 + x * 3) = 8x + -3(x + 4) 5x + (-15 + 3x) = 8x + -3(x + 4) Reorder the terms: -15 + 5x + 3x = 8x + -3(x + 4) Combine like terms: 5x + 3x = 8x -15 + 8x = 8x + -3(x + 4) Reorder the terms: -15 + 8x = 8x + -3(4 + x) -15 + 8x = 8x + (4 * -3 + x * -3) -15 + 8x = 8x + (-12 + -3x) Reorder the terms: -15 + 8x = -12 + 8x + -3x Combine like terms: 8x + -3x = 5x -15 + 8x = -12 + 5x Solving -15 + 8x = -12 + 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. -15 + 8x + -5x = -12 + 5x + -5x Combine like terms: 8x + -5x = 3x -15 + 3x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 3x = -12 + 0 -15 + 3x = -12 Add '15' to each side of the equation. -15 + 15 + 3x = -12 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = -12 + 15 3x = -12 + 15 Combine like terms: -12 + 15 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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