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Simplifying 5x + 22 = -35 + 12(x + -2) Reorder the terms: 22 + 5x = -35 + 12(x + -2) Reorder the terms: 22 + 5x = -35 + 12(-2 + x) 22 + 5x = -35 + (-2 * 12 + x * 12) 22 + 5x = -35 + (-24 + 12x) Combine like terms: -35 + -24 = -59 22 + 5x = -59 + 12x Solving 22 + 5x = -59 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 22 + 5x + -12x = -59 + 12x + -12x Combine like terms: 5x + -12x = -7x 22 + -7x = -59 + 12x + -12x Combine like terms: 12x + -12x = 0 22 + -7x = -59 + 0 22 + -7x = -59 Add '-22' to each side of the equation. 22 + -22 + -7x = -59 + -22 Combine like terms: 22 + -22 = 0 0 + -7x = -59 + -22 -7x = -59 + -22 Combine like terms: -59 + -22 = -81 -7x = -81 Divide each side by '-7'. x = 11.57142857 Simplifying x = 11.57142857
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