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Simplifying 3(x + -2) = 2(x + 5) + -7 Reorder the terms: 3(-2 + x) = 2(x + 5) + -7 (-2 * 3 + x * 3) = 2(x + 5) + -7 (-6 + 3x) = 2(x + 5) + -7 Reorder the terms: -6 + 3x = 2(5 + x) + -7 -6 + 3x = (5 * 2 + x * 2) + -7 -6 + 3x = (10 + 2x) + -7 Reorder the terms: -6 + 3x = 10 + -7 + 2x Combine like terms: 10 + -7 = 3 -6 + 3x = 3 + 2x Solving -6 + 3x = 3 + 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. -6 + 3x + -2x = 3 + 2x + -2x Combine like terms: 3x + -2x = 1x -6 + 1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 1x = 3 + 0 -6 + 1x = 3 Add '6' to each side of the equation. -6 + 6 + 1x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 3 + 6 1x = 3 + 6 Combine like terms: 3 + 6 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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