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Simplifying 3(x + -5) = 2(x + 2) Reorder the terms: 3(-5 + x) = 2(x + 2) (-5 * 3 + x * 3) = 2(x + 2) (-15 + 3x) = 2(x + 2) Reorder the terms: -15 + 3x = 2(2 + x) -15 + 3x = (2 * 2 + x * 2) -15 + 3x = (4 + 2x) Solving -15 + 3x = 4 + 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 + 3x + -2x = 4 + 2x + -2x Combine like terms: 3x + -2x = 1x -15 + 1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 1x = 4 + 0 -15 + 1x = 4 Add '15' to each side of the equation. -15 + 15 + 1x = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 4 + 15 1x = 4 + 15 Combine like terms: 4 + 15 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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