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Simplifying 8(x + 7) = 2(8x + -4) Reorder the terms: 8(7 + x) = 2(8x + -4) (7 * 8 + x * 8) = 2(8x + -4) (56 + 8x) = 2(8x + -4) Reorder the terms: 56 + 8x = 2(-4 + 8x) 56 + 8x = (-4 * 2 + 8x * 2) 56 + 8x = (-8 + 16x) Solving 56 + 8x = -8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 56 + 8x + -16x = -8 + 16x + -16x Combine like terms: 8x + -16x = -8x 56 + -8x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 56 + -8x = -8 + 0 56 + -8x = -8 Add '-56' to each side of the equation. 56 + -56 + -8x = -8 + -56 Combine like terms: 56 + -56 = 0 0 + -8x = -8 + -56 -8x = -8 + -56 Combine like terms: -8 + -56 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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