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Simplifying 4(3x + -7) + -5(4x + -2) = 0 Reorder the terms: 4(-7 + 3x) + -5(4x + -2) = 0 (-7 * 4 + 3x * 4) + -5(4x + -2) = 0 (-28 + 12x) + -5(4x + -2) = 0 Reorder the terms: -28 + 12x + -5(-2 + 4x) = 0 -28 + 12x + (-2 * -5 + 4x * -5) = 0 -28 + 12x + (10 + -20x) = 0 Reorder the terms: -28 + 10 + 12x + -20x = 0 Combine like terms: -28 + 10 = -18 -18 + 12x + -20x = 0 Combine like terms: 12x + -20x = -8x -18 + -8x = 0 Solving -18 + -8x = 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 + -8x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -8x = 0 + 18 -8x = 0 + 18 Combine like terms: 0 + 18 = 18 -8x = 18 Divide each side by '-8'. x = -2.25 Simplifying x = -2.25
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