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Simplifying 4(x + -2) + 14 + -6x = 34 Reorder the terms: 4(-2 + x) + 14 + -6x = 34 (-2 * 4 + x * 4) + 14 + -6x = 34 (-8 + 4x) + 14 + -6x = 34 Reorder the terms: -8 + 14 + 4x + -6x = 34 Combine like terms: -8 + 14 = 6 6 + 4x + -6x = 34 Combine like terms: 4x + -6x = -2x 6 + -2x = 34 Solving 6 + -2x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2x = 34 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 34 + -6 -2x = 34 + -6 Combine like terms: 34 + -6 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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