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Simplifying 4(x + 2) + -3(x + -6) + -8 = 0 Reorder the terms: 4(2 + x) + -3(x + -6) + -8 = 0 (2 * 4 + x * 4) + -3(x + -6) + -8 = 0 (8 + 4x) + -3(x + -6) + -8 = 0 Reorder the terms: 8 + 4x + -3(-6 + x) + -8 = 0 8 + 4x + (-6 * -3 + x * -3) + -8 = 0 8 + 4x + (18 + -3x) + -8 = 0 Reorder the terms: 8 + 18 + -8 + 4x + -3x = 0 Combine like terms: 8 + 18 = 26 26 + -8 + 4x + -3x = 0 Combine like terms: 26 + -8 = 18 18 + 4x + -3x = 0 Combine like terms: 4x + -3x = 1x 18 + 1x = 0 Solving 18 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 0 + -18 1x = 0 + -18 Combine like terms: 0 + -18 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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