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Simplifying 4(x + 2) = 8(x + -2) + -4 Reorder the terms: 4(2 + x) = 8(x + -2) + -4 (2 * 4 + x * 4) = 8(x + -2) + -4 (8 + 4x) = 8(x + -2) + -4 Reorder the terms: 8 + 4x = 8(-2 + x) + -4 8 + 4x = (-2 * 8 + x * 8) + -4 8 + 4x = (-16 + 8x) + -4 Reorder the terms: 8 + 4x = -16 + -4 + 8x Combine like terms: -16 + -4 = -20 8 + 4x = -20 + 8x Solving 8 + 4x = -20 + 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 = -20 + 8x + -8x Combine like terms: 4x + -8x = -4x 8 + -4x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -4x = -20 + 0 8 + -4x = -20 Add '-8' to each side of the equation. 8 + -8 + -4x = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -20 + -8 -4x = -20 + -8 Combine like terms: -20 + -8 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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