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Simplifying 4(x + 1) * 2 = 2x + 4 Reorder the terms: 4(1 + x) * 2 = 2x + 4 Reorder the terms for easier multiplication: 4 * 2(1 + x) = 2x + 4 Multiply 4 * 2 8(1 + x) = 2x + 4 (1 * 8 + x * 8) = 2x + 4 (8 + 8x) = 2x + 4 Reorder the terms: 8 + 8x = 4 + 2x Solving 8 + 8x = 4 + 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. 8 + 8x + -2x = 4 + 2x + -2x Combine like terms: 8x + -2x = 6x 8 + 6x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 6x = 4 + 0 8 + 6x = 4 Add '-8' to each side of the equation. 8 + -8 + 6x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 4 + -8 6x = 4 + -8 Combine like terms: 4 + -8 = -4 6x = -4 Divide each side by '6'. x = -0.6666666667 Simplifying x = -0.6666666667
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