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Simplifying -4(-5 + -2x) + 3(x + -2) = 58 (-5 * -4 + -2x * -4) + 3(x + -2) = 58 (20 + 8x) + 3(x + -2) = 58 Reorder the terms: 20 + 8x + 3(-2 + x) = 58 20 + 8x + (-2 * 3 + x * 3) = 58 20 + 8x + (-6 + 3x) = 58 Reorder the terms: 20 + -6 + 8x + 3x = 58 Combine like terms: 20 + -6 = 14 14 + 8x + 3x = 58 Combine like terms: 8x + 3x = 11x 14 + 11x = 58 Solving 14 + 11x = 58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 11x = 58 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = 58 + -14 11x = 58 + -14 Combine like terms: 58 + -14 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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