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Simplifying 4(4x + 7) + -3(5x + -6) = 0 Reorder the terms: 4(7 + 4x) + -3(5x + -6) = 0 (7 * 4 + 4x * 4) + -3(5x + -6) = 0 (28 + 16x) + -3(5x + -6) = 0 Reorder the terms: 28 + 16x + -3(-6 + 5x) = 0 28 + 16x + (-6 * -3 + 5x * -3) = 0 28 + 16x + (18 + -15x) = 0 Reorder the terms: 28 + 18 + 16x + -15x = 0 Combine like terms: 28 + 18 = 46 46 + 16x + -15x = 0 Combine like terms: 16x + -15x = 1x 46 + 1x = 0 Solving 46 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 1x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 1x = 0 + -46 1x = 0 + -46 Combine like terms: 0 + -46 = -46 1x = -46 Divide each side by '1'. x = -46 Simplifying x = -46
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