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