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Simplifying 4(x + -2) + 4x = 6x + -14 Reorder the terms: 4(-2 + x) + 4x = 6x + -14 (-2 * 4 + x * 4) + 4x = 6x + -14 (-8 + 4x) + 4x = 6x + -14 Combine like terms: 4x + 4x = 8x -8 + 8x = 6x + -14 Reorder the terms: -8 + 8x = -14 + 6x Solving -8 + 8x = -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 + 8x + -6x = -14 + 6x + -6x Combine like terms: 8x + -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 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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