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Simplifying 107 = 6x + 7(4x + -13) Reorder the terms: 107 = 6x + 7(-13 + 4x) 107 = 6x + (-13 * 7 + 4x * 7) 107 = 6x + (-91 + 28x) Reorder the terms: 107 = -91 + 6x + 28x Combine like terms: 6x + 28x = 34x 107 = -91 + 34x Solving 107 = -91 + 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. 107 + -34x = -91 + 34x + -34x Combine like terms: 34x + -34x = 0 107 + -34x = -91 + 0 107 + -34x = -91 Add '-107' to each side of the equation. 107 + -107 + -34x = -91 + -107 Combine like terms: 107 + -107 = 0 0 + -34x = -91 + -107 -34x = -91 + -107 Combine like terms: -91 + -107 = -198 -34x = -198 Divide each side by '-34'. x = 5.823529412 Simplifying x = 5.823529412
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