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Simplifying -8(x + -7) + 6 = -2(x + 8) Reorder the terms: -8(-7 + x) + 6 = -2(x + 8) (-7 * -8 + x * -8) + 6 = -2(x + 8) (56 + -8x) + 6 = -2(x + 8) Reorder the terms: 56 + 6 + -8x = -2(x + 8) Combine like terms: 56 + 6 = 62 62 + -8x = -2(x + 8) Reorder the terms: 62 + -8x = -2(8 + x) 62 + -8x = (8 * -2 + x * -2) 62 + -8x = (-16 + -2x) Solving 62 + -8x = -16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 62 + -8x + 2x = -16 + -2x + 2x Combine like terms: -8x + 2x = -6x 62 + -6x = -16 + -2x + 2x Combine like terms: -2x + 2x = 0 62 + -6x = -16 + 0 62 + -6x = -16 Add '-62' to each side of the equation. 62 + -62 + -6x = -16 + -62 Combine like terms: 62 + -62 = 0 0 + -6x = -16 + -62 -6x = -16 + -62 Combine like terms: -16 + -62 = -78 -6x = -78 Divide each side by '-6'. x = 13 Simplifying x = 13
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