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Simplifying 2(2x + 4) = 8(x + -3) Reorder the terms: 2(4 + 2x) = 8(x + -3) (4 * 2 + 2x * 2) = 8(x + -3) (8 + 4x) = 8(x + -3) Reorder the terms: 8 + 4x = 8(-3 + x) 8 + 4x = (-3 * 8 + x * 8) 8 + 4x = (-24 + 8x) Solving 8 + 4x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + 4x + -8x = -24 + 8x + -8x Combine like terms: 4x + -8x = -4x 8 + -4x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -4x = -24 + 0 8 + -4x = -24 Add '-8' to each side of the equation. 8 + -8 + -4x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -24 + -8 -4x = -24 + -8 Combine like terms: -24 + -8 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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