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Simplifying 28x + 14 = 6(4x + -5) Reorder the terms: 14 + 28x = 6(4x + -5) Reorder the terms: 14 + 28x = 6(-5 + 4x) 14 + 28x = (-5 * 6 + 4x * 6) 14 + 28x = (-30 + 24x) Solving 14 + 28x = -30 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 14 + 28x + -24x = -30 + 24x + -24x Combine like terms: 28x + -24x = 4x 14 + 4x = -30 + 24x + -24x Combine like terms: 24x + -24x = 0 14 + 4x = -30 + 0 14 + 4x = -30 Add '-14' to each side of the equation. 14 + -14 + 4x = -30 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = -30 + -14 4x = -30 + -14 Combine like terms: -30 + -14 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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