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Simplifying -4(7 + -4x) + -3x = 6x + -14 (7 * -4 + -4x * -4) + -3x = 6x + -14 (-28 + 16x) + -3x = 6x + -14 Combine like terms: 16x + -3x = 13x -28 + 13x = 6x + -14 Reorder the terms: -28 + 13x = -14 + 6x Solving -28 + 13x = -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. -28 + 13x + -6x = -14 + 6x + -6x Combine like terms: 13x + -6x = 7x -28 + 7x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 7x = -14 + 0 -28 + 7x = -14 Add '28' to each side of the equation. -28 + 28 + 7x = -14 + 28 Combine like terms: -28 + 28 = 0 0 + 7x = -14 + 28 7x = -14 + 28 Combine like terms: -14 + 28 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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