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Simplifying -7(2x + -8) + 2x = 6(x + 8) Reorder the terms: -7(-8 + 2x) + 2x = 6(x + 8) (-8 * -7 + 2x * -7) + 2x = 6(x + 8) (56 + -14x) + 2x = 6(x + 8) Combine like terms: -14x + 2x = -12x 56 + -12x = 6(x + 8) Reorder the terms: 56 + -12x = 6(8 + x) 56 + -12x = (8 * 6 + x * 6) 56 + -12x = (48 + 6x) Solving 56 + -12x = 48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 56 + -12x + -6x = 48 + 6x + -6x Combine like terms: -12x + -6x = -18x 56 + -18x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 56 + -18x = 48 + 0 56 + -18x = 48 Add '-56' to each side of the equation. 56 + -56 + -18x = 48 + -56 Combine like terms: 56 + -56 = 0 0 + -18x = 48 + -56 -18x = 48 + -56 Combine like terms: 48 + -56 = -8 -18x = -8 Divide each side by '-18'. x = 0.4444444444 Simplifying x = 0.4444444444
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