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Simplifying 4(x + 2) = 6(x + -1) + -8 Reorder the terms: 4(2 + x) = 6(x + -1) + -8 (2 * 4 + x * 4) = 6(x + -1) + -8 (8 + 4x) = 6(x + -1) + -8 Reorder the terms: 8 + 4x = 6(-1 + x) + -8 8 + 4x = (-1 * 6 + x * 6) + -8 8 + 4x = (-6 + 6x) + -8 Reorder the terms: 8 + 4x = -6 + -8 + 6x Combine like terms: -6 + -8 = -14 8 + 4x = -14 + 6x Solving 8 + 4x = -14 + 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. 8 + 4x + -6x = -14 + 6x + -6x Combine like terms: 4x + -6x = -2x 8 + -2x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -2x = -14 + 0 8 + -2x = -14 Add '-8' to each side of the equation. 8 + -8 + -2x = -14 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -14 + -8 -2x = -14 + -8 Combine like terms: -14 + -8 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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