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Simplifying 3(x + 2) + -6x + 4 = 2 + -3(x + 1) + x Reorder the terms: 3(2 + x) + -6x + 4 = 2 + -3(x + 1) + x (2 * 3 + x * 3) + -6x + 4 = 2 + -3(x + 1) + x (6 + 3x) + -6x + 4 = 2 + -3(x + 1) + x Reorder the terms: 6 + 4 + 3x + -6x = 2 + -3(x + 1) + x Combine like terms: 6 + 4 = 10 10 + 3x + -6x = 2 + -3(x + 1) + x Combine like terms: 3x + -6x = -3x 10 + -3x = 2 + -3(x + 1) + x Reorder the terms: 10 + -3x = 2 + -3(1 + x) + x 10 + -3x = 2 + (1 * -3 + x * -3) + x 10 + -3x = 2 + (-3 + -3x) + x Combine like terms: 2 + -3 = -1 10 + -3x = -1 + -3x + x Combine like terms: -3x + x = -2x 10 + -3x = -1 + -2x Solving 10 + -3x = -1 + -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. 10 + -3x + 2x = -1 + -2x + 2x Combine like terms: -3x + 2x = -1x 10 + -1x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + -1x = -1 + 0 10 + -1x = -1 Add '-10' to each side of the equation. 10 + -10 + -1x = -1 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -1 + -10 -1x = -1 + -10 Combine like terms: -1 + -10 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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