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Simplifying 5(x + -3) = 8 + -3x Reorder the terms: 5(-3 + x) = 8 + -3x (-3 * 5 + x * 5) = 8 + -3x (-15 + 5x) = 8 + -3x Solving -15 + 5x = 8 + -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 = 8 + -3x + 3x Combine like terms: 5x + 3x = 8x -15 + 8x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 8x = 8 + 0 -15 + 8x = 8 Add '15' to each side of the equation. -15 + 15 + 8x = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 8 + 15 8x = 8 + 15 Combine like terms: 8 + 15 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875
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