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Simplifying 8x + 4 + -2(1 + x) = 6 + 10x + -8 8x + 4 + (1 * -2 + x * -2) = 6 + 10x + -8 8x + 4 + (-2 + -2x) = 6 + 10x + -8 Reorder the terms: 4 + -2 + 8x + -2x = 6 + 10x + -8 Combine like terms: 4 + -2 = 2 2 + 8x + -2x = 6 + 10x + -8 Combine like terms: 8x + -2x = 6x 2 + 6x = 6 + 10x + -8 Reorder the terms: 2 + 6x = 6 + -8 + 10x Combine like terms: 6 + -8 = -2 2 + 6x = -2 + 10x Solving 2 + 6x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + 6x + -10x = -2 + 10x + -10x Combine like terms: 6x + -10x = -4x 2 + -4x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -4x = -2 + 0 2 + -4x = -2 Add '-2' to each side of the equation. 2 + -2 + -4x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -2 + -2 -4x = -2 + -2 Combine like terms: -2 + -2 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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