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Simplifying 118 = 4x + 6(4x + -13) Reorder the terms: 118 = 4x + 6(-13 + 4x) 118 = 4x + (-13 * 6 + 4x * 6) 118 = 4x + (-78 + 24x) Reorder the terms: 118 = -78 + 4x + 24x Combine like terms: 4x + 24x = 28x 118 = -78 + 28x Solving 118 = -78 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 118 + -28x = -78 + 28x + -28x Combine like terms: 28x + -28x = 0 118 + -28x = -78 + 0 118 + -28x = -78 Add '-118' to each side of the equation. 118 + -118 + -28x = -78 + -118 Combine like terms: 118 + -118 = 0 0 + -28x = -78 + -118 -28x = -78 + -118 Combine like terms: -78 + -118 = -196 -28x = -196 Divide each side by '-28'. x = 7 Simplifying x = 7
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