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Simplifying 3(x + -5) + 6 = 2(x + 5) Reorder the terms: 3(-5 + x) + 6 = 2(x + 5) (-5 * 3 + x * 3) + 6 = 2(x + 5) (-15 + 3x) + 6 = 2(x + 5) Reorder the terms: -15 + 6 + 3x = 2(x + 5) Combine like terms: -15 + 6 = -9 -9 + 3x = 2(x + 5) Reorder the terms: -9 + 3x = 2(5 + x) -9 + 3x = (5 * 2 + x * 2) -9 + 3x = (10 + 2x) Solving -9 + 3x = 10 + 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. -9 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x -9 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 1x = 10 + 0 -9 + 1x = 10 Add '9' to each side of the equation. -9 + 9 + 1x = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 10 + 9 1x = 10 + 9 Combine like terms: 10 + 9 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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