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Simplifying 3(2x + 2) + -8 = -2(x + -3) Reorder the terms: 3(2 + 2x) + -8 = -2(x + -3) (2 * 3 + 2x * 3) + -8 = -2(x + -3) (6 + 6x) + -8 = -2(x + -3) Reorder the terms: 6 + -8 + 6x = -2(x + -3) Combine like terms: 6 + -8 = -2 -2 + 6x = -2(x + -3) Reorder the terms: -2 + 6x = -2(-3 + x) -2 + 6x = (-3 * -2 + x * -2) -2 + 6x = (6 + -2x) Solving -2 + 6x = 6 + -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. -2 + 6x + 2x = 6 + -2x + 2x Combine like terms: 6x + 2x = 8x -2 + 8x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 8x = 6 + 0 -2 + 8x = 6 Add '2' to each side of the equation. -2 + 2 + 8x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 6 + 2 8x = 6 + 2 Combine like terms: 6 + 2 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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