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Simplifying 10(x + 4) + -3(3x + 5) + -1 = 0 Reorder the terms: 10(4 + x) + -3(3x + 5) + -1 = 0 (4 * 10 + x * 10) + -3(3x + 5) + -1 = 0 (40 + 10x) + -3(3x + 5) + -1 = 0 Reorder the terms: 40 + 10x + -3(5 + 3x) + -1 = 0 40 + 10x + (5 * -3 + 3x * -3) + -1 = 0 40 + 10x + (-15 + -9x) + -1 = 0 Reorder the terms: 40 + -15 + -1 + 10x + -9x = 0 Combine like terms: 40 + -15 = 25 25 + -1 + 10x + -9x = 0 Combine like terms: 25 + -1 = 24 24 + 10x + -9x = 0 Combine like terms: 10x + -9x = 1x 24 + 1x = 0 Solving 24 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 0 + -24 1x = 0 + -24 Combine like terms: 0 + -24 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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