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Simplifying 7(x + -8) + -6 = -6(-2x + 8) + -1x Reorder the terms: 7(-8 + x) + -6 = -6(-2x + 8) + -1x (-8 * 7 + x * 7) + -6 = -6(-2x + 8) + -1x (-56 + 7x) + -6 = -6(-2x + 8) + -1x Reorder the terms: -56 + -6 + 7x = -6(-2x + 8) + -1x Combine like terms: -56 + -6 = -62 -62 + 7x = -6(-2x + 8) + -1x Reorder the terms: -62 + 7x = -6(8 + -2x) + -1x -62 + 7x = (8 * -6 + -2x * -6) + -1x -62 + 7x = (-48 + 12x) + -1x Combine like terms: 12x + -1x = 11x -62 + 7x = -48 + 11x Solving -62 + 7x = -48 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -62 + 7x + -11x = -48 + 11x + -11x Combine like terms: 7x + -11x = -4x -62 + -4x = -48 + 11x + -11x Combine like terms: 11x + -11x = 0 -62 + -4x = -48 + 0 -62 + -4x = -48 Add '62' to each side of the equation. -62 + 62 + -4x = -48 + 62 Combine like terms: -62 + 62 = 0 0 + -4x = -48 + 62 -4x = -48 + 62 Combine like terms: -48 + 62 = 14 -4x = 14 Divide each side by '-4'. x = -3.5 Simplifying x = -3.5
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