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Simplifying -5(-3x + 5) + -3x = 6(x + -4) + -9 Reorder the terms: -5(5 + -3x) + -3x = 6(x + -4) + -9 (5 * -5 + -3x * -5) + -3x = 6(x + -4) + -9 (-25 + 15x) + -3x = 6(x + -4) + -9 Combine like terms: 15x + -3x = 12x -25 + 12x = 6(x + -4) + -9 Reorder the terms: -25 + 12x = 6(-4 + x) + -9 -25 + 12x = (-4 * 6 + x * 6) + -9 -25 + 12x = (-24 + 6x) + -9 Reorder the terms: -25 + 12x = -24 + -9 + 6x Combine like terms: -24 + -9 = -33 -25 + 12x = -33 + 6x Solving -25 + 12x = -33 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -25 + 12x + -6x = -33 + 6x + -6x Combine like terms: 12x + -6x = 6x -25 + 6x = -33 + 6x + -6x Combine like terms: 6x + -6x = 0 -25 + 6x = -33 + 0 -25 + 6x = -33 Add '25' to each side of the equation. -25 + 25 + 6x = -33 + 25 Combine like terms: -25 + 25 = 0 0 + 6x = -33 + 25 6x = -33 + 25 Combine like terms: -33 + 25 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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