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Simplifying 3(x + -2) + -4(5x + 3) = 0 Reorder the terms: 3(-2 + x) + -4(5x + 3) = 0 (-2 * 3 + x * 3) + -4(5x + 3) = 0 (-6 + 3x) + -4(5x + 3) = 0 Reorder the terms: -6 + 3x + -4(3 + 5x) = 0 -6 + 3x + (3 * -4 + 5x * -4) = 0 -6 + 3x + (-12 + -20x) = 0 Reorder the terms: -6 + -12 + 3x + -20x = 0 Combine like terms: -6 + -12 = -18 -18 + 3x + -20x = 0 Combine like terms: 3x + -20x = -17x -18 + -17x = 0 Solving -18 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -17x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -17x = 0 + 18 -17x = 0 + 18 Combine like terms: 0 + 18 = 18 -17x = 18 Divide each side by '-17'. x = -1.058823529 Simplifying x = -1.058823529
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