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Simplifying -6(-5x + 4) + -8x = 7(x + -4) + -6 Reorder the terms: -6(4 + -5x) + -8x = 7(x + -4) + -6 (4 * -6 + -5x * -6) + -8x = 7(x + -4) + -6 (-24 + 30x) + -8x = 7(x + -4) + -6 Combine like terms: 30x + -8x = 22x -24 + 22x = 7(x + -4) + -6 Reorder the terms: -24 + 22x = 7(-4 + x) + -6 -24 + 22x = (-4 * 7 + x * 7) + -6 -24 + 22x = (-28 + 7x) + -6 Reorder the terms: -24 + 22x = -28 + -6 + 7x Combine like terms: -28 + -6 = -34 -24 + 22x = -34 + 7x Solving -24 + 22x = -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. -24 + 22x + -7x = -34 + 7x + -7x Combine like terms: 22x + -7x = 15x -24 + 15x = -34 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + 15x = -34 + 0 -24 + 15x = -34 Add '24' to each side of the equation. -24 + 24 + 15x = -34 + 24 Combine like terms: -24 + 24 = 0 0 + 15x = -34 + 24 15x = -34 + 24 Combine like terms: -34 + 24 = -10 15x = -10 Divide each side by '15'. x = -0.6666666667 Simplifying x = -0.6666666667
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