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Simplifying 6(x + 2) = 3(2x + -1) + 2(x + 1) Reorder the terms: 6(2 + x) = 3(2x + -1) + 2(x + 1) (2 * 6 + x * 6) = 3(2x + -1) + 2(x + 1) (12 + 6x) = 3(2x + -1) + 2(x + 1) Reorder the terms: 12 + 6x = 3(-1 + 2x) + 2(x + 1) 12 + 6x = (-1 * 3 + 2x * 3) + 2(x + 1) 12 + 6x = (-3 + 6x) + 2(x + 1) Reorder the terms: 12 + 6x = -3 + 6x + 2(1 + x) 12 + 6x = -3 + 6x + (1 * 2 + x * 2) 12 + 6x = -3 + 6x + (2 + 2x) Reorder the terms: 12 + 6x = -3 + 2 + 6x + 2x Combine like terms: -3 + 2 = -1 12 + 6x = -1 + 6x + 2x Combine like terms: 6x + 2x = 8x 12 + 6x = -1 + 8x Solving 12 + 6x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 6x + -8x = -1 + 8x + -8x Combine like terms: 6x + -8x = -2x 12 + -2x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -2x = -1 + 0 12 + -2x = -1 Add '-12' to each side of the equation. 12 + -12 + -2x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -1 + -12 -2x = -1 + -12 Combine like terms: -1 + -12 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5
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