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Simplifying -5(x + -4) + 2 = 6(x + -2) + 58 Reorder the terms: -5(-4 + x) + 2 = 6(x + -2) + 58 (-4 * -5 + x * -5) + 2 = 6(x + -2) + 58 (20 + -5x) + 2 = 6(x + -2) + 58 Reorder the terms: 20 + 2 + -5x = 6(x + -2) + 58 Combine like terms: 20 + 2 = 22 22 + -5x = 6(x + -2) + 58 Reorder the terms: 22 + -5x = 6(-2 + x) + 58 22 + -5x = (-2 * 6 + x * 6) + 58 22 + -5x = (-12 + 6x) + 58 Reorder the terms: 22 + -5x = -12 + 58 + 6x Combine like terms: -12 + 58 = 46 22 + -5x = 46 + 6x Solving 22 + -5x = 46 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 22 + -5x + -6x = 46 + 6x + -6x Combine like terms: -5x + -6x = -11x 22 + -11x = 46 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + -11x = 46 + 0 22 + -11x = 46 Add '-22' to each side of the equation. 22 + -22 + -11x = 46 + -22 Combine like terms: 22 + -22 = 0 0 + -11x = 46 + -22 -11x = 46 + -22 Combine like terms: 46 + -22 = 24 -11x = 24 Divide each side by '-11'. x = -2.181818182 Simplifying x = -2.181818182
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