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Simplifying 3(x + -2) = 7 + -2(5 + -1x) Reorder the terms: 3(-2 + x) = 7 + -2(5 + -1x) (-2 * 3 + x * 3) = 7 + -2(5 + -1x) (-6 + 3x) = 7 + -2(5 + -1x) -6 + 3x = 7 + (5 * -2 + -1x * -2) -6 + 3x = 7 + (-10 + 2x) Combine like terms: 7 + -10 = -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 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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