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Simplifying -5(3x + 4) + -4x = 7(x + -4) + -6 Reorder the terms: -5(4 + 3x) + -4x = 7(x + -4) + -6 (4 * -5 + 3x * -5) + -4x = 7(x + -4) + -6 (-20 + -15x) + -4x = 7(x + -4) + -6 Combine like terms: -15x + -4x = -19x -20 + -19x = 7(x + -4) + -6 Reorder the terms: -20 + -19x = 7(-4 + x) + -6 -20 + -19x = (-4 * 7 + x * 7) + -6 -20 + -19x = (-28 + 7x) + -6 Reorder the terms: -20 + -19x = -28 + -6 + 7x Combine like terms: -28 + -6 = -34 -20 + -19x = -34 + 7x Solving -20 + -19x = -34 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + -19x + -7x = -34 + 7x + -7x Combine like terms: -19x + -7x = -26x -20 + -26x = -34 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + -26x = -34 + 0 -20 + -26x = -34 Add '20' to each side of the equation. -20 + 20 + -26x = -34 + 20 Combine like terms: -20 + 20 = 0 0 + -26x = -34 + 20 -26x = -34 + 20 Combine like terms: -34 + 20 = -14 -26x = -14 Divide each side by '-26'. x = 0.5384615385 Simplifying x = 0.5384615385
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