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Simplifying 8(x + 1) + 2(x + 1) = 6x + -6 Reorder the terms: 8(1 + x) + 2(x + 1) = 6x + -6 (1 * 8 + x * 8) + 2(x + 1) = 6x + -6 (8 + 8x) + 2(x + 1) = 6x + -6 Reorder the terms: 8 + 8x + 2(1 + x) = 6x + -6 8 + 8x + (1 * 2 + x * 2) = 6x + -6 8 + 8x + (2 + 2x) = 6x + -6 Reorder the terms: 8 + 2 + 8x + 2x = 6x + -6 Combine like terms: 8 + 2 = 10 10 + 8x + 2x = 6x + -6 Combine like terms: 8x + 2x = 10x 10 + 10x = 6x + -6 Reorder the terms: 10 + 10x = -6 + 6x Solving 10 + 10x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 10x + -6x = -6 + 6x + -6x Combine like terms: 10x + -6x = 4x 10 + 4x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 4x = -6 + 0 10 + 4x = -6 Add '-10' to each side of the equation. 10 + -10 + 4x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = -6 + -10 4x = -6 + -10 Combine like terms: -6 + -10 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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