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Simplifying -2(3x + -7) + 2x = 2(x + 4) Reorder the terms: -2(-7 + 3x) + 2x = 2(x + 4) (-7 * -2 + 3x * -2) + 2x = 2(x + 4) (14 + -6x) + 2x = 2(x + 4) Combine like terms: -6x + 2x = -4x 14 + -4x = 2(x + 4) Reorder the terms: 14 + -4x = 2(4 + x) 14 + -4x = (4 * 2 + x * 2) 14 + -4x = (8 + 2x) Solving 14 + -4x = 8 + 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 + -4x + -2x = 8 + 2x + -2x Combine like terms: -4x + -2x = -6x 14 + -6x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -6x = 8 + 0 14 + -6x = 8 Add '-14' to each side of the equation. 14 + -14 + -6x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = 8 + -14 -6x = 8 + -14 Combine like terms: 8 + -14 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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