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Simplifying 6(2x + 5) + -2(5x + -4) = 10 Reorder the terms: 6(5 + 2x) + -2(5x + -4) = 10 (5 * 6 + 2x * 6) + -2(5x + -4) = 10 (30 + 12x) + -2(5x + -4) = 10 Reorder the terms: 30 + 12x + -2(-4 + 5x) = 10 30 + 12x + (-4 * -2 + 5x * -2) = 10 30 + 12x + (8 + -10x) = 10 Reorder the terms: 30 + 8 + 12x + -10x = 10 Combine like terms: 30 + 8 = 38 38 + 12x + -10x = 10 Combine like terms: 12x + -10x = 2x 38 + 2x = 10 Solving 38 + 2x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 2x = 10 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 10 + -38 2x = 10 + -38 Combine like terms: 10 + -38 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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