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Simplifying 5(4x + -1) + 3(2x + -3) = 4x + -58 Reorder the terms: 5(-1 + 4x) + 3(2x + -3) = 4x + -58 (-1 * 5 + 4x * 5) + 3(2x + -3) = 4x + -58 (-5 + 20x) + 3(2x + -3) = 4x + -58 Reorder the terms: -5 + 20x + 3(-3 + 2x) = 4x + -58 -5 + 20x + (-3 * 3 + 2x * 3) = 4x + -58 -5 + 20x + (-9 + 6x) = 4x + -58 Reorder the terms: -5 + -9 + 20x + 6x = 4x + -58 Combine like terms: -5 + -9 = -14 -14 + 20x + 6x = 4x + -58 Combine like terms: 20x + 6x = 26x -14 + 26x = 4x + -58 Reorder the terms: -14 + 26x = -58 + 4x Solving -14 + 26x = -58 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 26x + -4x = -58 + 4x + -4x Combine like terms: 26x + -4x = 22x -14 + 22x = -58 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 22x = -58 + 0 -14 + 22x = -58 Add '14' to each side of the equation. -14 + 14 + 22x = -58 + 14 Combine like terms: -14 + 14 = 0 0 + 22x = -58 + 14 22x = -58 + 14 Combine like terms: -58 + 14 = -44 22x = -44 Divide each side by '22'. x = -2 Simplifying x = -2
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