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Simplifying 7x + 14 = 4(x + -7) + 9 Reorder the terms: 14 + 7x = 4(x + -7) + 9 Reorder the terms: 14 + 7x = 4(-7 + x) + 9 14 + 7x = (-7 * 4 + x * 4) + 9 14 + 7x = (-28 + 4x) + 9 Reorder the terms: 14 + 7x = -28 + 9 + 4x Combine like terms: -28 + 9 = -19 14 + 7x = -19 + 4x Solving 14 + 7x = -19 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + 7x + -4x = -19 + 4x + -4x Combine like terms: 7x + -4x = 3x 14 + 3x = -19 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 3x = -19 + 0 14 + 3x = -19 Add '-14' to each side of the equation. 14 + -14 + 3x = -19 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = -19 + -14 3x = -19 + -14 Combine like terms: -19 + -14 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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