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Simplifying 3(x + -2) + -6 = 4 + 2x + -1(x + 2) Reorder the terms: 3(-2 + x) + -6 = 4 + 2x + -1(x + 2) (-2 * 3 + x * 3) + -6 = 4 + 2x + -1(x + 2) (-6 + 3x) + -6 = 4 + 2x + -1(x + 2) Reorder the terms: -6 + -6 + 3x = 4 + 2x + -1(x + 2) Combine like terms: -6 + -6 = -12 -12 + 3x = 4 + 2x + -1(x + 2) Reorder the terms: -12 + 3x = 4 + 2x + -1(2 + x) -12 + 3x = 4 + 2x + (2 * -1 + x * -1) -12 + 3x = 4 + 2x + (-2 + -1x) Reorder the terms: -12 + 3x = 4 + -2 + 2x + -1x Combine like terms: 4 + -2 = 2 -12 + 3x = 2 + 2x + -1x Combine like terms: 2x + -1x = 1x -12 + 3x = 2 + 1x Solving -12 + 3x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 3x + -1x = 2 + 1x + -1x Combine like terms: 3x + -1x = 2x -12 + 2x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + 2x = 2 + 0 -12 + 2x = 2 Add '12' to each side of the equation. -12 + 12 + 2x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 2 + 12 2x = 2 + 12 Combine like terms: 2 + 12 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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