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Simplifying -2x + 48 = 5(2x + -1) + 5 Reorder the terms: 48 + -2x = 5(2x + -1) + 5 Reorder the terms: 48 + -2x = 5(-1 + 2x) + 5 48 + -2x = (-1 * 5 + 2x * 5) + 5 48 + -2x = (-5 + 10x) + 5 Reorder the terms: 48 + -2x = -5 + 5 + 10x Combine like terms: -5 + 5 = 0 48 + -2x = 0 + 10x 48 + -2x = 10x Solving 48 + -2x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 48 + -2x + -10x = 10x + -10x Combine like terms: -2x + -10x = -12x 48 + -12x = 10x + -10x Combine like terms: 10x + -10x = 0 48 + -12x = 0 Add '-48' to each side of the equation. 48 + -48 + -12x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -12x = 0 + -48 -12x = 0 + -48 Combine like terms: 0 + -48 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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