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Simplifying x + 2 = 4(2x + 1) Reorder the terms: 2 + x = 4(2x + 1) Reorder the terms: 2 + x = 4(1 + 2x) 2 + x = (1 * 4 + 2x * 4) 2 + x = (4 + 8x) Solving 2 + x = 4 + 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. 2 + x + -8x = 4 + 8x + -8x Combine like terms: x + -8x = -7x 2 + -7x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -7x = 4 + 0 2 + -7x = 4 Add '-2' to each side of the equation. 2 + -2 + -7x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 4 + -2 -7x = 4 + -2 Combine like terms: 4 + -2 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857
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