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Simplifying 6(x + 2) + -1x = 4(x + 4 + 7) Reorder the terms: 6(2 + x) + -1x = 4(x + 4 + 7) (2 * 6 + x * 6) + -1x = 4(x + 4 + 7) (12 + 6x) + -1x = 4(x + 4 + 7) Combine like terms: 6x + -1x = 5x 12 + 5x = 4(x + 4 + 7) Reorder the terms: 12 + 5x = 4(4 + 7 + x) Combine like terms: 4 + 7 = 11 12 + 5x = 4(11 + x) 12 + 5x = (11 * 4 + x * 4) 12 + 5x = (44 + 4x) Solving 12 + 5x = 44 + 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. 12 + 5x + -4x = 44 + 4x + -4x Combine like terms: 5x + -4x = 1x 12 + 1x = 44 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 1x = 44 + 0 12 + 1x = 44 Add '-12' to each side of the equation. 12 + -12 + 1x = 44 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 44 + -12 1x = 44 + -12 Combine like terms: 44 + -12 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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