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Simplifying 8(1 + x) + -4x = 6x + -6(x + -2) (1 * 8 + x * 8) + -4x = 6x + -6(x + -2) (8 + 8x) + -4x = 6x + -6(x + -2) Combine like terms: 8x + -4x = 4x 8 + 4x = 6x + -6(x + -2) Reorder the terms: 8 + 4x = 6x + -6(-2 + x) 8 + 4x = 6x + (-2 * -6 + x * -6) 8 + 4x = 6x + (12 + -6x) Reorder the terms: 8 + 4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 4x = 12 + 0 8 + 4x = 12 Solving 8 + 4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 12 + -8 4x = 12 + -8 Combine like terms: 12 + -8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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