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Simplifying 4x + -2(3x + -7) = 2x + -6 Reorder the terms: 4x + -2(-7 + 3x) = 2x + -6 4x + (-7 * -2 + 3x * -2) = 2x + -6 4x + (14 + -6x) = 2x + -6 Reorder the terms: 14 + 4x + -6x = 2x + -6 Combine like terms: 4x + -6x = -2x 14 + -2x = 2x + -6 Reorder the terms: 14 + -2x = -6 + 2x Solving 14 + -2x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + -2x + -2x = -6 + 2x + -2x Combine like terms: -2x + -2x = -4x 14 + -4x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -4x = -6 + 0 14 + -4x = -6 Add '-14' to each side of the equation. 14 + -14 + -4x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = -6 + -14 -4x = -6 + -14 Combine like terms: -6 + -14 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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