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Simplifying 2x + 8 = 2[x + 4] * 4 Reorder the terms: 8 + 2x = 2[x + 4] * 4 Reorder the terms: 8 + 2x = 2[4 + x] * 4 Reorder the terms for easier multiplication: 8 + 2x = 2 * 4[4 + x] Multiply 2 * 4 8 + 2x = 8[4 + x] 8 + 2x = [4 * 8 + x * 8] 8 + 2x = [32 + 8x] Solving 8 + 2x = 32 + 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 + 2x + -8x = 32 + 8x + -8x Combine like terms: 2x + -8x = -6x 8 + -6x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -6x = 32 + 0 8 + -6x = 32 Add '-8' to each side of the equation. 8 + -8 + -6x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 32 + -8 -6x = 32 + -8 Combine like terms: 32 + -8 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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