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Simplifying 10(2x + 3) + -3(6x + -4) = 44 Reorder the terms: 10(3 + 2x) + -3(6x + -4) = 44 (3 * 10 + 2x * 10) + -3(6x + -4) = 44 (30 + 20x) + -3(6x + -4) = 44 Reorder the terms: 30 + 20x + -3(-4 + 6x) = 44 30 + 20x + (-4 * -3 + 6x * -3) = 44 30 + 20x + (12 + -18x) = 44 Reorder the terms: 30 + 12 + 20x + -18x = 44 Combine like terms: 30 + 12 = 42 42 + 20x + -18x = 44 Combine like terms: 20x + -18x = 2x 42 + 2x = 44 Solving 42 + 2x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 2x = 44 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = 44 + -42 2x = 44 + -42 Combine like terms: 44 + -42 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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