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Simplifying 5(x + -3) + -1(3x + 4) + -2(5x + 6) = 0 Reorder the terms: 5(-3 + x) + -1(3x + 4) + -2(5x + 6) = 0 (-3 * 5 + x * 5) + -1(3x + 4) + -2(5x + 6) = 0 (-15 + 5x) + -1(3x + 4) + -2(5x + 6) = 0 Reorder the terms: -15 + 5x + -1(4 + 3x) + -2(5x + 6) = 0 -15 + 5x + (4 * -1 + 3x * -1) + -2(5x + 6) = 0 -15 + 5x + (-4 + -3x) + -2(5x + 6) = 0 Reorder the terms: -15 + 5x + -4 + -3x + -2(6 + 5x) = 0 -15 + 5x + -4 + -3x + (6 * -2 + 5x * -2) = 0 -15 + 5x + -4 + -3x + (-12 + -10x) = 0 Reorder the terms: -15 + -4 + -12 + 5x + -3x + -10x = 0 Combine like terms: -15 + -4 = -19 -19 + -12 + 5x + -3x + -10x = 0 Combine like terms: -19 + -12 = -31 -31 + 5x + -3x + -10x = 0 Combine like terms: 5x + -3x = 2x -31 + 2x + -10x = 0 Combine like terms: 2x + -10x = -8x -31 + -8x = 0 Solving -31 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -8x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -8x = 0 + 31 -8x = 0 + 31 Combine like terms: 0 + 31 = 31 -8x = 31 Divide each side by '-8'. x = -3.875 Simplifying x = -3.875
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