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Simplifying 48 = 14 + 6(4 + x) + -3x 48 = 14 + (4 * 6 + x * 6) + -3x 48 = 14 + (24 + 6x) + -3x Combine like terms: 14 + 24 = 38 48 = 38 + 6x + -3x Combine like terms: 6x + -3x = 3x 48 = 38 + 3x Solving 48 = 38 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 48 + -3x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 48 + -3x = 38 + 0 48 + -3x = 38 Add '-48' to each side of the equation. 48 + -48 + -3x = 38 + -48 Combine like terms: 48 + -48 = 0 0 + -3x = 38 + -48 -3x = 38 + -48 Combine like terms: 38 + -48 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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