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Simplifying 3(2x + -1) + 6 + 11 = 12 + -2(1 + -1x) Reorder the terms: 3(-1 + 2x) + 6 + 11 = 12 + -2(1 + -1x) (-1 * 3 + 2x * 3) + 6 + 11 = 12 + -2(1 + -1x) (-3 + 6x) + 6 + 11 = 12 + -2(1 + -1x) Reorder the terms: -3 + 6 + 11 + 6x = 12 + -2(1 + -1x) Combine like terms: -3 + 6 = 3 3 + 11 + 6x = 12 + -2(1 + -1x) Combine like terms: 3 + 11 = 14 14 + 6x = 12 + -2(1 + -1x) 14 + 6x = 12 + (1 * -2 + -1x * -2) 14 + 6x = 12 + (-2 + 2x) Combine like terms: 12 + -2 = 10 14 + 6x = 10 + 2x Solving 14 + 6x = 10 + 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. 14 + 6x + -2x = 10 + 2x + -2x Combine like terms: 6x + -2x = 4x 14 + 4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 4x = 10 + 0 14 + 4x = 10 Add '-14' to each side of the equation. 14 + -14 + 4x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 10 + -14 4x = 10 + -14 Combine like terms: 10 + -14 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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