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Simplifying 48 = 2(1 + 5x) + -4 48 = (1 * 2 + 5x * 2) + -4 48 = (2 + 10x) + -4 Reorder the terms: 48 = 2 + -4 + 10x Combine like terms: 2 + -4 = -2 48 = -2 + 10x Solving 48 = -2 + 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 + -10x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 48 + -10x = -2 + 0 48 + -10x = -2 Add '-48' to each side of the equation. 48 + -48 + -10x = -2 + -48 Combine like terms: 48 + -48 = 0 0 + -10x = -2 + -48 -10x = -2 + -48 Combine like terms: -2 + -48 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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