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Simplifying 8(x + 1) + 4(x + 1) = 6x + -6 Reorder the terms: 8(1 + x) + 4(x + 1) = 6x + -6 (1 * 8 + x * 8) + 4(x + 1) = 6x + -6 (8 + 8x) + 4(x + 1) = 6x + -6 Reorder the terms: 8 + 8x + 4(1 + x) = 6x + -6 8 + 8x + (1 * 4 + x * 4) = 6x + -6 8 + 8x + (4 + 4x) = 6x + -6 Reorder the terms: 8 + 4 + 8x + 4x = 6x + -6 Combine like terms: 8 + 4 = 12 12 + 8x + 4x = 6x + -6 Combine like terms: 8x + 4x = 12x 12 + 12x = 6x + -6 Reorder the terms: 12 + 12x = -6 + 6x Solving 12 + 12x = -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. 12 + 12x + -6x = -6 + 6x + -6x Combine like terms: 12x + -6x = 6x 12 + 6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 6x = -6 + 0 12 + 6x = -6 Add '-12' to each side of the equation. 12 + -12 + 6x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = -6 + -12 6x = -6 + -12 Combine like terms: -6 + -12 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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