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Simplifying 4x + 1 = 5(7 + -6x) Reorder the terms: 1 + 4x = 5(7 + -6x) 1 + 4x = (7 * 5 + -6x * 5) 1 + 4x = (35 + -30x) Solving 1 + 4x = 35 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 1 + 4x + 30x = 35 + -30x + 30x Combine like terms: 4x + 30x = 34x 1 + 34x = 35 + -30x + 30x Combine like terms: -30x + 30x = 0 1 + 34x = 35 + 0 1 + 34x = 35 Add '-1' to each side of the equation. 1 + -1 + 34x = 35 + -1 Combine like terms: 1 + -1 = 0 0 + 34x = 35 + -1 34x = 35 + -1 Combine like terms: 35 + -1 = 34 34x = 34 Divide each side by '34'. x = 1 Simplifying x = 1
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