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Simplifying -3x + 5 = 6x + 7(4x + 1) Reorder the terms: 5 + -3x = 6x + 7(4x + 1) Reorder the terms: 5 + -3x = 6x + 7(1 + 4x) 5 + -3x = 6x + (1 * 7 + 4x * 7) 5 + -3x = 6x + (7 + 28x) Reorder the terms: 5 + -3x = 7 + 6x + 28x Combine like terms: 6x + 28x = 34x 5 + -3x = 7 + 34x Solving 5 + -3x = 7 + 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. 5 + -3x + -34x = 7 + 34x + -34x Combine like terms: -3x + -34x = -37x 5 + -37x = 7 + 34x + -34x Combine like terms: 34x + -34x = 0 5 + -37x = 7 + 0 5 + -37x = 7 Add '-5' to each side of the equation. 5 + -5 + -37x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -37x = 7 + -5 -37x = 7 + -5 Combine like terms: 7 + -5 = 2 -37x = 2 Divide each side by '-37'. x = -0.05405405405 Simplifying x = -0.05405405405
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