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Simplifying -1(4x + -10) + 3(4x + 6) = 0 Reorder the terms: -1(-10 + 4x) + 3(4x + 6) = 0 (-10 * -1 + 4x * -1) + 3(4x + 6) = 0 (10 + -4x) + 3(4x + 6) = 0 Reorder the terms: 10 + -4x + 3(6 + 4x) = 0 10 + -4x + (6 * 3 + 4x * 3) = 0 10 + -4x + (18 + 12x) = 0 Reorder the terms: 10 + 18 + -4x + 12x = 0 Combine like terms: 10 + 18 = 28 28 + -4x + 12x = 0 Combine like terms: -4x + 12x = 8x 28 + 8x = 0 Solving 28 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 8x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 8x = 0 + -28 8x = 0 + -28 Combine like terms: 0 + -28 = -28 8x = -28 Divide each side by '8'. x = -3.5 Simplifying x = -3.5
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