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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 = 8x 2 + 8x = 10 Solving 2 + 8x = 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 + 8x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 10 + -2 8x = 10 + -2 Combine like terms: 10 + -2 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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