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Simplifying 5(x + -3) = 2(x + 1) + -5(x + -3) Reorder the terms: 5(-3 + x) = 2(x + 1) + -5(x + -3) (-3 * 5 + x * 5) = 2(x + 1) + -5(x + -3) (-15 + 5x) = 2(x + 1) + -5(x + -3) Reorder the terms: -15 + 5x = 2(1 + x) + -5(x + -3) -15 + 5x = (1 * 2 + x * 2) + -5(x + -3) -15 + 5x = (2 + 2x) + -5(x + -3) Reorder the terms: -15 + 5x = 2 + 2x + -5(-3 + x) -15 + 5x = 2 + 2x + (-3 * -5 + x * -5) -15 + 5x = 2 + 2x + (15 + -5x) Reorder the terms: -15 + 5x = 2 + 15 + 2x + -5x Combine like terms: 2 + 15 = 17 -15 + 5x = 17 + 2x + -5x Combine like terms: 2x + -5x = -3x -15 + 5x = 17 + -3x Solving -15 + 5x = 17 + -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. -15 + 5x + 3x = 17 + -3x + 3x Combine like terms: 5x + 3x = 8x -15 + 8x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 8x = 17 + 0 -15 + 8x = 17 Add '15' to each side of the equation. -15 + 15 + 8x = 17 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 17 + 15 8x = 17 + 15 Combine like terms: 17 + 15 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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