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Simplifying 4(x + 1) = 6(x + -1) + -2 Reorder the terms: 4(1 + x) = 6(x + -1) + -2 (1 * 4 + x * 4) = 6(x + -1) + -2 (4 + 4x) = 6(x + -1) + -2 Reorder the terms: 4 + 4x = 6(-1 + x) + -2 4 + 4x = (-1 * 6 + x * 6) + -2 4 + 4x = (-6 + 6x) + -2 Reorder the terms: 4 + 4x = -6 + -2 + 6x Combine like terms: -6 + -2 = -8 4 + 4x = -8 + 6x Solving 4 + 4x = -8 + 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. 4 + 4x + -6x = -8 + 6x + -6x Combine like terms: 4x + -6x = -2x 4 + -2x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -2x = -8 + 0 4 + -2x = -8 Add '-4' to each side of the equation. 4 + -4 + -2x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -8 + -4 -2x = -8 + -4 Combine like terms: -8 + -4 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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