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Simplifying 2(3x + 6) + 2(x + -1) = 4(x + 6) Reorder the terms: 2(6 + 3x) + 2(x + -1) = 4(x + 6) (6 * 2 + 3x * 2) + 2(x + -1) = 4(x + 6) (12 + 6x) + 2(x + -1) = 4(x + 6) Reorder the terms: 12 + 6x + 2(-1 + x) = 4(x + 6) 12 + 6x + (-1 * 2 + x * 2) = 4(x + 6) 12 + 6x + (-2 + 2x) = 4(x + 6) Reorder the terms: 12 + -2 + 6x + 2x = 4(x + 6) Combine like terms: 12 + -2 = 10 10 + 6x + 2x = 4(x + 6) Combine like terms: 6x + 2x = 8x 10 + 8x = 4(x + 6) Reorder the terms: 10 + 8x = 4(6 + x) 10 + 8x = (6 * 4 + x * 4) 10 + 8x = (24 + 4x) Solving 10 + 8x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 8x + -4x = 24 + 4x + -4x Combine like terms: 8x + -4x = 4x 10 + 4x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 4x = 24 + 0 10 + 4x = 24 Add '-10' to each side of the equation. 10 + -10 + 4x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 24 + -10 4x = 24 + -10 Combine like terms: 24 + -10 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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