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Simplifying 3(2x + 5) + -3(4x + -10) = 0 Reorder the terms: 3(5 + 2x) + -3(4x + -10) = 0 (5 * 3 + 2x * 3) + -3(4x + -10) = 0 (15 + 6x) + -3(4x + -10) = 0 Reorder the terms: 15 + 6x + -3(-10 + 4x) = 0 15 + 6x + (-10 * -3 + 4x * -3) = 0 15 + 6x + (30 + -12x) = 0 Reorder the terms: 15 + 30 + 6x + -12x = 0 Combine like terms: 15 + 30 = 45 45 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x 45 + -6x = 0 Solving 45 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -6x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = 0 + -45 -6x = 0 + -45 Combine like terms: 0 + -45 = -45 -6x = -45 Divide each side by '-6'. x = 7.5 Simplifying x = 7.5
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