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Simplifying 12x + -1(3x + 1) + -1(2x + -35) = x + 58 Reorder the terms: 12x + -1(1 + 3x) + -1(2x + -35) = x + 58 12x + (1 * -1 + 3x * -1) + -1(2x + -35) = x + 58 12x + (-1 + -3x) + -1(2x + -35) = x + 58 Reorder the terms: 12x + -1 + -3x + -1(-35 + 2x) = x + 58 12x + -1 + -3x + (-35 * -1 + 2x * -1) = x + 58 12x + -1 + -3x + (35 + -2x) = x + 58 Reorder the terms: -1 + 35 + 12x + -3x + -2x = x + 58 Combine like terms: -1 + 35 = 34 34 + 12x + -3x + -2x = x + 58 Combine like terms: 12x + -3x = 9x 34 + 9x + -2x = x + 58 Combine like terms: 9x + -2x = 7x 34 + 7x = x + 58 Reorder the terms: 34 + 7x = 58 + x Solving 34 + 7x = 58 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 34 + 7x + -1x = 58 + x + -1x Combine like terms: 7x + -1x = 6x 34 + 6x = 58 + x + -1x Combine like terms: x + -1x = 0 34 + 6x = 58 + 0 34 + 6x = 58 Add '-34' to each side of the equation. 34 + -34 + 6x = 58 + -34 Combine like terms: 34 + -34 = 0 0 + 6x = 58 + -34 6x = 58 + -34 Combine like terms: 58 + -34 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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