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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 = 36 36 + 12x + -3x + -2x = x + 58 Combine like terms: 12x + -3x = 9x 36 + 9x + -2x = x + 58 Combine like terms: 9x + -2x = 7x 36 + 7x = x + 58 Reorder the terms: 36 + 7x = 58 + x Solving 36 + 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. 36 + 7x + -1x = 58 + x + -1x Combine like terms: 7x + -1x = 6x 36 + 6x = 58 + x + -1x Combine like terms: x + -1x = 0 36 + 6x = 58 + 0 36 + 6x = 58 Add '-36' to each side of the equation. 36 + -36 + 6x = 58 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = 58 + -36 6x = 58 + -36 Combine like terms: 58 + -36 = 22 6x = 22 Divide each side by '6'. x = 3.666666667 Simplifying x = 3.666666667
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