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Simplifying -1(x + 12) + 7x = 2(x + 4) + 3c Reorder the terms: -1(12 + x) + 7x = 2(x + 4) + 3c (12 * -1 + x * -1) + 7x = 2(x + 4) + 3c (-12 + -1x) + 7x = 2(x + 4) + 3c Combine like terms: -1x + 7x = 6x -12 + 6x = 2(x + 4) + 3c Reorder the terms: -12 + 6x = 2(4 + x) + 3c -12 + 6x = (4 * 2 + x * 2) + 3c -12 + 6x = (8 + 2x) + 3c Reorder the terms: -12 + 6x = 8 + 3c + 2x Solving -12 + 6x = 8 + 3c + 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. -12 + 6x + -2x = 8 + 3c + 2x + -2x Combine like terms: 6x + -2x = 4x -12 + 4x = 8 + 3c + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 4x = 8 + 3c + 0 -12 + 4x = 8 + 3c Add '12' to each side of the equation. -12 + 12 + 4x = 8 + 12 + 3c Combine like terms: -12 + 12 = 0 0 + 4x = 8 + 12 + 3c 4x = 8 + 12 + 3c Combine like terms: 8 + 12 = 20 4x = 20 + 3c Divide each side by '4'. x = 5 + 0.75c Simplifying x = 5 + 0.75c
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