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Simplifying 6(x + 2) + 4c + -5 = 8(x + 4) + -7 Reorder the terms: 6(2 + x) + 4c + -5 = 8(x + 4) + -7 (2 * 6 + x * 6) + 4c + -5 = 8(x + 4) + -7 (12 + 6x) + 4c + -5 = 8(x + 4) + -7 Reorder the terms: 12 + -5 + 4c + 6x = 8(x + 4) + -7 Combine like terms: 12 + -5 = 7 7 + 4c + 6x = 8(x + 4) + -7 Reorder the terms: 7 + 4c + 6x = 8(4 + x) + -7 7 + 4c + 6x = (4 * 8 + x * 8) + -7 7 + 4c + 6x = (32 + 8x) + -7 Reorder the terms: 7 + 4c + 6x = 32 + -7 + 8x Combine like terms: 32 + -7 = 25 7 + 4c + 6x = 25 + 8x Solving 7 + 4c + 6x = 25 + 8x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 4c + -7 + 6x = 25 + -7 + 8x Reorder the terms: 7 + -7 + 4c + 6x = 25 + -7 + 8x Combine like terms: 7 + -7 = 0 0 + 4c + 6x = 25 + -7 + 8x 4c + 6x = 25 + -7 + 8x Combine like terms: 25 + -7 = 18 4c + 6x = 18 + 8x Add '-6x' to each side of the equation. 4c + 6x + -6x = 18 + 8x + -6x Combine like terms: 6x + -6x = 0 4c + 0 = 18 + 8x + -6x 4c = 18 + 8x + -6x Combine like terms: 8x + -6x = 2x 4c = 18 + 2x Divide each side by '4'. c = 4.5 + 0.5x Simplifying c = 4.5 + 0.5x
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