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Simplifying 48 + -1(2x + 3) = 4(c + 6) + x Reorder the terms: 48 + -1(3 + 2x) = 4(c + 6) + x 48 + (3 * -1 + 2x * -1) = 4(c + 6) + x 48 + (-3 + -2x) = 4(c + 6) + x Combine like terms: 48 + -3 = 45 45 + -2x = 4(c + 6) + x Reorder the terms: 45 + -2x = 4(6 + c) + x 45 + -2x = (6 * 4 + c * 4) + x 45 + -2x = (24 + 4c) + x Solving 45 + -2x = 24 + 4c + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 45 + -2x + -1x = 24 + 4c + x + -1x Combine like terms: -2x + -1x = -3x 45 + -3x = 24 + 4c + x + -1x Combine like terms: x + -1x = 0 45 + -3x = 24 + 4c + 0 45 + -3x = 24 + 4c Add '-45' to each side of the equation. 45 + -45 + -3x = 24 + -45 + 4c Combine like terms: 45 + -45 = 0 0 + -3x = 24 + -45 + 4c -3x = 24 + -45 + 4c Combine like terms: 24 + -45 = -21 -3x = -21 + 4c Divide each side by '-3'. x = 7 + -1.333333333c Simplifying x = 7 + -1.333333333c
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