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Simplifying 3(2x + -2) + 7 = 2(x + 5) Reorder the terms: 3(-2 + 2x) + 7 = 2(x + 5) (-2 * 3 + 2x * 3) + 7 = 2(x + 5) (-6 + 6x) + 7 = 2(x + 5) Reorder the terms: -6 + 7 + 6x = 2(x + 5) Combine like terms: -6 + 7 = 1 1 + 6x = 2(x + 5) Reorder the terms: 1 + 6x = 2(5 + x) 1 + 6x = (5 * 2 + x * 2) 1 + 6x = (10 + 2x) Solving 1 + 6x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 6x + -2x = 10 + 2x + -2x Combine like terms: 6x + -2x = 4x 1 + 4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 4x = 10 + 0 1 + 4x = 10 Add '-1' to each side of the equation. 1 + -1 + 4x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 10 + -1 4x = 10 + -1 Combine like terms: 10 + -1 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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