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Simplifying 4(x + 1) + 2x = 4 + x + 1 + 4 + 1 + 2 + x + 2 + 2 Reorder the terms: 4(1 + x) + 2x = 4 + x + 1 + 4 + 1 + 2 + x + 2 + 2 (1 * 4 + x * 4) + 2x = 4 + x + 1 + 4 + 1 + 2 + x + 2 + 2 (4 + 4x) + 2x = 4 + x + 1 + 4 + 1 + 2 + x + 2 + 2 Combine like terms: 4x + 2x = 6x 4 + 6x = 4 + x + 1 + 4 + 1 + 2 + x + 2 + 2 Reorder the terms: 4 + 6x = 4 + 1 + 4 + 1 + 2 + 2 + 2 + x + x Combine like terms: 4 + 1 = 5 4 + 6x = 5 + 4 + 1 + 2 + 2 + 2 + x + x Combine like terms: 5 + 4 = 9 4 + 6x = 9 + 1 + 2 + 2 + 2 + x + x Combine like terms: 9 + 1 = 10 4 + 6x = 10 + 2 + 2 + 2 + x + x Combine like terms: 10 + 2 = 12 4 + 6x = 12 + 2 + 2 + x + x Combine like terms: 12 + 2 = 14 4 + 6x = 14 + 2 + x + x Combine like terms: 14 + 2 = 16 4 + 6x = 16 + x + x Combine like terms: x + x = 2x 4 + 6x = 16 + 2x Solving 4 + 6x = 16 + 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. 4 + 6x + -2x = 16 + 2x + -2x Combine like terms: 6x + -2x = 4x 4 + 4x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 4x = 16 + 0 4 + 4x = 16 Add '-4' to each side of the equation. 4 + -4 + 4x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 16 + -4 4x = 16 + -4 Combine like terms: 16 + -4 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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