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Simplifying 2(x + -5) + -3(6 + -2x) + -12 = 6 + -2(x + -2) Reorder the terms: 2(-5 + x) + -3(6 + -2x) + -12 = 6 + -2(x + -2) (-5 * 2 + x * 2) + -3(6 + -2x) + -12 = 6 + -2(x + -2) (-10 + 2x) + -3(6 + -2x) + -12 = 6 + -2(x + -2) -10 + 2x + (6 * -3 + -2x * -3) + -12 = 6 + -2(x + -2) -10 + 2x + (-18 + 6x) + -12 = 6 + -2(x + -2) Reorder the terms: -10 + -18 + -12 + 2x + 6x = 6 + -2(x + -2) Combine like terms: -10 + -18 = -28 -28 + -12 + 2x + 6x = 6 + -2(x + -2) Combine like terms: -28 + -12 = -40 -40 + 2x + 6x = 6 + -2(x + -2) Combine like terms: 2x + 6x = 8x -40 + 8x = 6 + -2(x + -2) Reorder the terms: -40 + 8x = 6 + -2(-2 + x) -40 + 8x = 6 + (-2 * -2 + x * -2) -40 + 8x = 6 + (4 + -2x) Combine like terms: 6 + 4 = 10 -40 + 8x = 10 + -2x Solving -40 + 8x = 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. -40 + 8x + 2x = 10 + -2x + 2x Combine like terms: 8x + 2x = 10x -40 + 10x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -40 + 10x = 10 + 0 -40 + 10x = 10 Add '40' to each side of the equation. -40 + 40 + 10x = 10 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = 10 + 40 10x = 10 + 40 Combine like terms: 10 + 40 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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