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Simplifying 55 = 3(2x + -1) + 2(x + 5) Reorder the terms: 55 = 3(-1 + 2x) + 2(x + 5) 55 = (-1 * 3 + 2x * 3) + 2(x + 5) 55 = (-3 + 6x) + 2(x + 5) Reorder the terms: 55 = -3 + 6x + 2(5 + x) 55 = -3 + 6x + (5 * 2 + x * 2) 55 = -3 + 6x + (10 + 2x) Reorder the terms: 55 = -3 + 10 + 6x + 2x Combine like terms: -3 + 10 = 7 55 = 7 + 6x + 2x Combine like terms: 6x + 2x = 8x 55 = 7 + 8x Solving 55 = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 55 + -8x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 55 + -8x = 7 + 0 55 + -8x = 7 Add '-55' to each side of the equation. 55 + -55 + -8x = 7 + -55 Combine like terms: 55 + -55 = 0 0 + -8x = 7 + -55 -8x = 7 + -55 Combine like terms: 7 + -55 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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