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Simplifying 5(x + -3) = 2(x + 2) + 8 Reorder the terms: 5(-3 + x) = 2(x + 2) + 8 (-3 * 5 + x * 5) = 2(x + 2) + 8 (-15 + 5x) = 2(x + 2) + 8 Reorder the terms: -15 + 5x = 2(2 + x) + 8 -15 + 5x = (2 * 2 + x * 2) + 8 -15 + 5x = (4 + 2x) + 8 Reorder the terms: -15 + 5x = 4 + 8 + 2x Combine like terms: 4 + 8 = 12 -15 + 5x = 12 + 2x Solving -15 + 5x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 5x + -2x = 12 + 2x + -2x Combine like terms: 5x + -2x = 3x -15 + 3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 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 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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