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Simplifying 48 = 3x + 2(4x + -9) Reorder the terms: 48 = 3x + 2(-9 + 4x) 48 = 3x + (-9 * 2 + 4x * 2) 48 = 3x + (-18 + 8x) Reorder the terms: 48 = -18 + 3x + 8x Combine like terms: 3x + 8x = 11x 48 = -18 + 11x Solving 48 = -18 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 48 + -11x = -18 + 11x + -11x Combine like terms: 11x + -11x = 0 48 + -11x = -18 + 0 48 + -11x = -18 Add '-48' to each side of the equation. 48 + -48 + -11x = -18 + -48 Combine like terms: 48 + -48 = 0 0 + -11x = -18 + -48 -11x = -18 + -48 Combine like terms: -18 + -48 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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