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Simplifying 2x + 14 = 7(x + -4) Reorder the terms: 14 + 2x = 7(x + -4) Reorder the terms: 14 + 2x = 7(-4 + x) 14 + 2x = (-4 * 7 + x * 7) 14 + 2x = (-28 + 7x) Solving 14 + 2x = -28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + 2x + -7x = -28 + 7x + -7x Combine like terms: 2x + -7x = -5x 14 + -5x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -5x = -28 + 0 14 + -5x = -28 Add '-14' to each side of the equation. 14 + -14 + -5x = -28 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = -28 + -14 -5x = -28 + -14 Combine like terms: -28 + -14 = -42 -5x = -42 Divide each side by '-5'. x = 8.4 Simplifying x = 8.4
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