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