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Simplifying 3x + 1 = 4(58 + -1x) Reorder the terms: 1 + 3x = 4(58 + -1x) 1 + 3x = (58 * 4 + -1x * 4) 1 + 3x = (232 + -4x) Solving 1 + 3x = 232 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + 3x + 4x = 232 + -4x + 4x Combine like terms: 3x + 4x = 7x 1 + 7x = 232 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 7x = 232 + 0 1 + 7x = 232 Add '-1' to each side of the equation. 1 + -1 + 7x = 232 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 232 + -1 7x = 232 + -1 Combine like terms: 232 + -1 = 231 7x = 231 Divide each side by '7'. x = 33 Simplifying x = 33
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