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Simplifying 6(x + -8) + -4 = -7(-2x + 6) + -2x Reorder the terms: 6(-8 + x) + -4 = -7(-2x + 6) + -2x (-8 * 6 + x * 6) + -4 = -7(-2x + 6) + -2x (-48 + 6x) + -4 = -7(-2x + 6) + -2x Reorder the terms: -48 + -4 + 6x = -7(-2x + 6) + -2x Combine like terms: -48 + -4 = -52 -52 + 6x = -7(-2x + 6) + -2x Reorder the terms: -52 + 6x = -7(6 + -2x) + -2x -52 + 6x = (6 * -7 + -2x * -7) + -2x -52 + 6x = (-42 + 14x) + -2x Combine like terms: 14x + -2x = 12x -52 + 6x = -42 + 12x Solving -52 + 6x = -42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -52 + 6x + -12x = -42 + 12x + -12x Combine like terms: 6x + -12x = -6x -52 + -6x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 -52 + -6x = -42 + 0 -52 + -6x = -42 Add '52' to each side of the equation. -52 + 52 + -6x = -42 + 52 Combine like terms: -52 + 52 = 0 0 + -6x = -42 + 52 -6x = -42 + 52 Combine like terms: -42 + 52 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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