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Simplifying 2(x + 4) + 3(2x + -6) + 10 = 40 Reorder the terms: 2(4 + x) + 3(2x + -6) + 10 = 40 (4 * 2 + x * 2) + 3(2x + -6) + 10 = 40 (8 + 2x) + 3(2x + -6) + 10 = 40 Reorder the terms: 8 + 2x + 3(-6 + 2x) + 10 = 40 8 + 2x + (-6 * 3 + 2x * 3) + 10 = 40 8 + 2x + (-18 + 6x) + 10 = 40 Reorder the terms: 8 + -18 + 10 + 2x + 6x = 40 Combine like terms: 8 + -18 = -10 -10 + 10 + 2x + 6x = 40 Combine like terms: -10 + 10 = 0 0 + 2x + 6x = 40 2x + 6x = 40 Combine like terms: 2x + 6x = 8x 8x = 40 Solving 8x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '8'. x = 5 Simplifying x = 5
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