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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 = 20 -4 + 2x = 20 + -6x Solving -4 + 2x = 20 + -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 = 20 + -6x + 6x Combine like terms: 2x + 6x = 8x -4 + 8x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 8x = 20 + 0 -4 + 8x = 20 Add '4' to each side of the equation. -4 + 4 + 8x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 20 + 4 8x = 20 + 4 Combine like terms: 20 + 4 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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