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Simplifying 5(x + 1) + -2(3x + 4) = 0 Reorder the terms: 5(1 + x) + -2(3x + 4) = 0 (1 * 5 + x * 5) + -2(3x + 4) = 0 (5 + 5x) + -2(3x + 4) = 0 Reorder the terms: 5 + 5x + -2(4 + 3x) = 0 5 + 5x + (4 * -2 + 3x * -2) = 0 5 + 5x + (-8 + -6x) = 0 Reorder the terms: 5 + -8 + 5x + -6x = 0 Combine like terms: 5 + -8 = -3 -3 + 5x + -6x = 0 Combine like terms: 5x + -6x = -1x -3 + -1x = 0 Solving -3 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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