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Simplifying 7x + 28 = 14(x + -4) Reorder the terms: 28 + 7x = 14(x + -4) Reorder the terms: 28 + 7x = 14(-4 + x) 28 + 7x = (-4 * 14 + x * 14) 28 + 7x = (-56 + 14x) Solving 28 + 7x = -56 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 28 + 7x + -14x = -56 + 14x + -14x Combine like terms: 7x + -14x = -7x 28 + -7x = -56 + 14x + -14x Combine like terms: 14x + -14x = 0 28 + -7x = -56 + 0 28 + -7x = -56 Add '-28' to each side of the equation. 28 + -28 + -7x = -56 + -28 Combine like terms: 28 + -28 = 0 0 + -7x = -56 + -28 -7x = -56 + -28 Combine like terms: -56 + -28 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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