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Simplifying 8[x] + -4[x] = 2[x + 1] Combine like terms: 8x + -4x = 4x 4x = 2[x + 1] Reorder the terms: 4x = 2[1 + x] 4x = [1 * 2 + x * 2] 4x = [2 + 2x] Solving 4x = 2 + 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. 4x + -2x = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 2x = 2 + 0 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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