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Simplifying 2(x + -4) + 5x = 12 + -1(2x + 2) Reorder the terms: 2(-4 + x) + 5x = 12 + -1(2x + 2) (-4 * 2 + x * 2) + 5x = 12 + -1(2x + 2) (-8 + 2x) + 5x = 12 + -1(2x + 2) Combine like terms: 2x + 5x = 7x -8 + 7x = 12 + -1(2x + 2) Reorder the terms: -8 + 7x = 12 + -1(2 + 2x) -8 + 7x = 12 + (2 * -1 + 2x * -1) -8 + 7x = 12 + (-2 + -2x) Combine like terms: 12 + -2 = 10 -8 + 7x = 10 + -2x Solving -8 + 7x = 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. -8 + 7x + 2x = 10 + -2x + 2x Combine like terms: 7x + 2x = 9x -8 + 9x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 9x = 10 + 0 -8 + 9x = 10 Add '8' to each side of the equation. -8 + 8 + 9x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 10 + 8 9x = 10 + 8 Combine like terms: 10 + 8 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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