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Simplifying 116 = 4x + 6(5x + -9) Reorder the terms: 116 = 4x + 6(-9 + 5x) 116 = 4x + (-9 * 6 + 5x * 6) 116 = 4x + (-54 + 30x) Reorder the terms: 116 = -54 + 4x + 30x Combine like terms: 4x + 30x = 34x 116 = -54 + 34x Solving 116 = -54 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 116 + -34x = -54 + 34x + -34x Combine like terms: 34x + -34x = 0 116 + -34x = -54 + 0 116 + -34x = -54 Add '-116' to each side of the equation. 116 + -116 + -34x = -54 + -116 Combine like terms: 116 + -116 = 0 0 + -34x = -54 + -116 -34x = -54 + -116 Combine like terms: -54 + -116 = -170 -34x = -170 Divide each side by '-34'. x = 5 Simplifying x = 5
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