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Simplifying 3 + -1(x + 2) = 4 + -2(x + 2) + 7 Reorder the terms: 3 + -1(2 + x) = 4 + -2(x + 2) + 7 3 + (2 * -1 + x * -1) = 4 + -2(x + 2) + 7 3 + (-2 + -1x) = 4 + -2(x + 2) + 7 Combine like terms: 3 + -2 = 1 1 + -1x = 4 + -2(x + 2) + 7 Reorder the terms: 1 + -1x = 4 + -2(2 + x) + 7 1 + -1x = 4 + (2 * -2 + x * -2) + 7 1 + -1x = 4 + (-4 + -2x) + 7 Reorder the terms: 1 + -1x = 4 + -4 + 7 + -2x Combine like terms: 4 + -4 = 0 1 + -1x = 0 + 7 + -2x 1 + -1x = 7 + -2x Solving 1 + -1x = 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. 1 + -1x + 2x = 7 + -2x + 2x Combine like terms: -1x + 2x = 1x 1 + 1x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 1x = 7 + 0 1 + 1x = 7 Add '-1' to each side of the equation. 1 + -1 + 1x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 7 + -1 1x = 7 + -1 Combine like terms: 7 + -1 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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