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Simplifying 55 = 3(2x + -2) + 2(x + 5) Reorder the terms: 55 = 3(-2 + 2x) + 2(x + 5) 55 = (-2 * 3 + 2x * 3) + 2(x + 5) 55 = (-6 + 6x) + 2(x + 5) Reorder the terms: 55 = -6 + 6x + 2(5 + x) 55 = -6 + 6x + (5 * 2 + x * 2) 55 = -6 + 6x + (10 + 2x) Reorder the terms: 55 = -6 + 10 + 6x + 2x Combine like terms: -6 + 10 = 4 55 = 4 + 6x + 2x Combine like terms: 6x + 2x = 8x 55 = 4 + 8x Solving 55 = 4 + 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 = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 55 + -8x = 4 + 0 55 + -8x = 4 Add '-55' to each side of the equation. 55 + -55 + -8x = 4 + -55 Combine like terms: 55 + -55 = 0 0 + -8x = 4 + -55 -8x = 4 + -55 Combine like terms: 4 + -55 = -51 -8x = -51 Divide each side by '-8'. x = 6.375 Simplifying x = 6.375
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