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Simplifying 5(x + -3) = 3(x + 5) + -2x Reorder the terms: 5(-3 + x) = 3(x + 5) + -2x (-3 * 5 + x * 5) = 3(x + 5) + -2x (-15 + 5x) = 3(x + 5) + -2x Reorder the terms: -15 + 5x = 3(5 + x) + -2x -15 + 5x = (5 * 3 + x * 3) + -2x -15 + 5x = (15 + 3x) + -2x Combine like terms: 3x + -2x = 1x -15 + 5x = 15 + 1x Solving -15 + 5x = 15 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15 + 5x + -1x = 15 + 1x + -1x Combine like terms: 5x + -1x = 4x -15 + 4x = 15 + 1x + -1x Combine like terms: 1x + -1x = 0 -15 + 4x = 15 + 0 -15 + 4x = 15 Add '15' to each side of the equation. -15 + 15 + 4x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 15 + 15 4x = 15 + 15 Combine like terms: 15 + 15 = 30 4x = 30 Divide each side by '4'. x = 7.5 Simplifying x = 7.5
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