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Simplifying -3(8x + -10) + 3(10x + 9) = 0 Reorder the terms: -3(-10 + 8x) + 3(10x + 9) = 0 (-10 * -3 + 8x * -3) + 3(10x + 9) = 0 (30 + -24x) + 3(10x + 9) = 0 Reorder the terms: 30 + -24x + 3(9 + 10x) = 0 30 + -24x + (9 * 3 + 10x * 3) = 0 30 + -24x + (27 + 30x) = 0 Reorder the terms: 30 + 27 + -24x + 30x = 0 Combine like terms: 30 + 27 = 57 57 + -24x + 30x = 0 Combine like terms: -24x + 30x = 6x 57 + 6x = 0 Solving 57 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 6x = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 6x = 0 + -57 6x = 0 + -57 Combine like terms: 0 + -57 = -57 6x = -57 Divide each side by '6'. x = -9.5 Simplifying x = -9.5
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