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Simplifying 6(x + -4) + -2 = -7(-4x + 2) + -6x Reorder the terms: 6(-4 + x) + -2 = -7(-4x + 2) + -6x (-4 * 6 + x * 6) + -2 = -7(-4x + 2) + -6x (-24 + 6x) + -2 = -7(-4x + 2) + -6x Reorder the terms: -24 + -2 + 6x = -7(-4x + 2) + -6x Combine like terms: -24 + -2 = -26 -26 + 6x = -7(-4x + 2) + -6x Reorder the terms: -26 + 6x = -7(2 + -4x) + -6x -26 + 6x = (2 * -7 + -4x * -7) + -6x -26 + 6x = (-14 + 28x) + -6x Combine like terms: 28x + -6x = 22x -26 + 6x = -14 + 22x Solving -26 + 6x = -14 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -26 + 6x + -22x = -14 + 22x + -22x Combine like terms: 6x + -22x = -16x -26 + -16x = -14 + 22x + -22x Combine like terms: 22x + -22x = 0 -26 + -16x = -14 + 0 -26 + -16x = -14 Add '26' to each side of the equation. -26 + 26 + -16x = -14 + 26 Combine like terms: -26 + 26 = 0 0 + -16x = -14 + 26 -16x = -14 + 26 Combine like terms: -14 + 26 = 12 -16x = 12 Divide each side by '-16'. x = -0.75 Simplifying x = -0.75
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