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Simplifying 8x + 2 = 3(x + 1) + 4x Reorder the terms: 2 + 8x = 3(x + 1) + 4x Reorder the terms: 2 + 8x = 3(1 + x) + 4x 2 + 8x = (1 * 3 + x * 3) + 4x 2 + 8x = (3 + 3x) + 4x Combine like terms: 3x + 4x = 7x 2 + 8x = 3 + 7x Solving 2 + 8x = 3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 8x + -7x = 3 + 7x + -7x Combine like terms: 8x + -7x = 1x 2 + 1x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + 1x = 3 + 0 2 + 1x = 3 Add '-2' to each side of the equation. 2 + -2 + 1x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 3 + -2 1x = 3 + -2 Combine like terms: 3 + -2 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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