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Simplifying -2(x + -3) + 2(3x + -4) = 10 Reorder the terms: -2(-3 + x) + 2(3x + -4) = 10 (-3 * -2 + x * -2) + 2(3x + -4) = 10 (6 + -2x) + 2(3x + -4) = 10 Reorder the terms: 6 + -2x + 2(-4 + 3x) = 10 6 + -2x + (-4 * 2 + 3x * 2) = 10 6 + -2x + (-8 + 6x) = 10 Reorder the terms: 6 + -8 + -2x + 6x = 10 Combine like terms: 6 + -8 = -2 -2 + -2x + 6x = 10 Combine like terms: -2x + 6x = 4x -2 + 4x = 10 Solving -2 + 4x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 10 + 2 4x = 10 + 2 Combine like terms: 10 + 2 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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