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Simplifying 5(2x + 2) + -2(x + -1) + 2x + -4 = 48 Reorder the terms: 5(2 + 2x) + -2(x + -1) + 2x + -4 = 48 (2 * 5 + 2x * 5) + -2(x + -1) + 2x + -4 = 48 (10 + 10x) + -2(x + -1) + 2x + -4 = 48 Reorder the terms: 10 + 10x + -2(-1 + x) + 2x + -4 = 48 10 + 10x + (-1 * -2 + x * -2) + 2x + -4 = 48 10 + 10x + (2 + -2x) + 2x + -4 = 48 Reorder the terms: 10 + 2 + -4 + 10x + -2x + 2x = 48 Combine like terms: 10 + 2 = 12 12 + -4 + 10x + -2x + 2x = 48 Combine like terms: 12 + -4 = 8 8 + 10x + -2x + 2x = 48 Combine like terms: 10x + -2x = 8x 8 + 8x + 2x = 48 Combine like terms: 8x + 2x = 10x 8 + 10x = 48 Solving 8 + 10x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 10x = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 48 + -8 10x = 48 + -8 Combine like terms: 48 + -8 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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