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Simplifying 48 = 6(5x + -22) Reorder the terms: 48 = 6(-22 + 5x) 48 = (-22 * 6 + 5x * 6) 48 = (-132 + 30x) Solving 48 = -132 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 48 + -30x = -132 + 30x + -30x Combine like terms: 30x + -30x = 0 48 + -30x = -132 + 0 48 + -30x = -132 Add '-48' to each side of the equation. 48 + -48 + -30x = -132 + -48 Combine like terms: 48 + -48 = 0 0 + -30x = -132 + -48 -30x = -132 + -48 Combine like terms: -132 + -48 = -180 -30x = -180 Divide each side by '-30'. x = 6 Simplifying x = 6
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