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Simplifying 3(-4x + -2) = 5(7x + 9) Reorder the terms: 3(-2 + -4x) = 5(7x + 9) (-2 * 3 + -4x * 3) = 5(7x + 9) (-6 + -12x) = 5(7x + 9) Reorder the terms: -6 + -12x = 5(9 + 7x) -6 + -12x = (9 * 5 + 7x * 5) -6 + -12x = (45 + 35x) Solving -6 + -12x = 45 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -6 + -12x + -35x = 45 + 35x + -35x Combine like terms: -12x + -35x = -47x -6 + -47x = 45 + 35x + -35x Combine like terms: 35x + -35x = 0 -6 + -47x = 45 + 0 -6 + -47x = 45 Add '6' to each side of the equation. -6 + 6 + -47x = 45 + 6 Combine like terms: -6 + 6 = 0 0 + -47x = 45 + 6 -47x = 45 + 6 Combine like terms: 45 + 6 = 51 -47x = 51 Divide each side by '-47'. x = -1.085106383 Simplifying x = -1.085106383
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