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Simplifying 3(x + -2) + -2 = 2x + 7 Reorder the terms: 3(-2 + x) + -2 = 2x + 7 (-2 * 3 + x * 3) + -2 = 2x + 7 (-6 + 3x) + -2 = 2x + 7 Reorder the terms: -6 + -2 + 3x = 2x + 7 Combine like terms: -6 + -2 = -8 -8 + 3x = 2x + 7 Reorder the terms: -8 + 3x = 7 + 2x Solving -8 + 3x = 7 + 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. -8 + 3x + -2x = 7 + 2x + -2x Combine like terms: 3x + -2x = 1x -8 + 1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 1x = 7 + 0 -8 + 1x = 7 Add '8' to each side of the equation. -8 + 8 + 1x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 7 + 8 1x = 7 + 8 Combine like terms: 7 + 8 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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