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Simplifying 4(3x + c) + 7 + -5x = 8 + (-5)(5x + -6x) + 23 Reorder the terms: 4(c + 3x) + 7 + -5x = 8 + (-5)(5x + -6x) + 23 (c * 4 + 3x * 4) + 7 + -5x = 8 + (-5)(5x + -6x) + 23 (4c + 12x) + 7 + -5x = 8 + (-5)(5x + -6x) + 23 Reorder the terms: 7 + 4c + 12x + -5x = 8 + (-5)(5x + -6x) + 23 Combine like terms: 12x + -5x = 7x 7 + 4c + 7x = 8 + (-5)(5x + -6x) + 23 Combine like terms: 5x + -6x = -1x 7 + 4c + 7x = 8 + -5(-1x) + 23 Remove parenthesis around (-1x) 7 + 4c + 7x = 8 + -5 * -1x + 23 Multiply -5 * -1 7 + 4c + 7x = 8 + 5x + 23 Reorder the terms: 7 + 4c + 7x = 8 + 23 + 5x Combine like terms: 8 + 23 = 31 7 + 4c + 7x = 31 + 5x Solving 7 + 4c + 7x = 31 + 5x 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 + 7x = 31 + -7 + 5x Reorder the terms: 7 + -7 + 4c + 7x = 31 + -7 + 5x Combine like terms: 7 + -7 = 0 0 + 4c + 7x = 31 + -7 + 5x 4c + 7x = 31 + -7 + 5x Combine like terms: 31 + -7 = 24 4c + 7x = 24 + 5x Add '-7x' to each side of the equation. 4c + 7x + -7x = 24 + 5x + -7x Combine like terms: 7x + -7x = 0 4c + 0 = 24 + 5x + -7x 4c = 24 + 5x + -7x Combine like terms: 5x + -7x = -2x 4c = 24 + -2x Divide each side by '4'. c = 6 + -0.5x Simplifying c = 6 + -0.5x
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