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Simplifying -14 = -5x + 7(x + -4) Reorder the terms: -14 = -5x + 7(-4 + x) -14 = -5x + (-4 * 7 + x * 7) -14 = -5x + (-28 + 7x) Reorder the terms: -14 = -28 + -5x + 7x Combine like terms: -5x + 7x = 2x -14 = -28 + 2x Solving -14 = -28 + 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 = -28 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + -2x = -28 + 0 -14 + -2x = -28 Add '14' to each side of the equation. -14 + 14 + -2x = -28 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = -28 + 14 -2x = -28 + 14 Combine like terms: -28 + 14 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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