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Simplifying -3(-9x + 6) + -7x = 5(x + -4) + -4 Reorder the terms: -3(6 + -9x) + -7x = 5(x + -4) + -4 (6 * -3 + -9x * -3) + -7x = 5(x + -4) + -4 (-18 + 27x) + -7x = 5(x + -4) + -4 Combine like terms: 27x + -7x = 20x -18 + 20x = 5(x + -4) + -4 Reorder the terms: -18 + 20x = 5(-4 + x) + -4 -18 + 20x = (-4 * 5 + x * 5) + -4 -18 + 20x = (-20 + 5x) + -4 Reorder the terms: -18 + 20x = -20 + -4 + 5x Combine like terms: -20 + -4 = -24 -18 + 20x = -24 + 5x Solving -18 + 20x = -24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 20x + -5x = -24 + 5x + -5x Combine like terms: 20x + -5x = 15x -18 + 15x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 15x = -24 + 0 -18 + 15x = -24 Add '18' to each side of the equation. -18 + 18 + 15x = -24 + 18 Combine like terms: -18 + 18 = 0 0 + 15x = -24 + 18 15x = -24 + 18 Combine like terms: -24 + 18 = -6 15x = -6 Divide each side by '15'. x = -0.4 Simplifying x = -0.4
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