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Simplifying 5(4x + -6) + -8 = 6x + -24 Reorder the terms: 5(-6 + 4x) + -8 = 6x + -24 (-6 * 5 + 4x * 5) + -8 = 6x + -24 (-30 + 20x) + -8 = 6x + -24 Reorder the terms: -30 + -8 + 20x = 6x + -24 Combine like terms: -30 + -8 = -38 -38 + 20x = 6x + -24 Reorder the terms: -38 + 20x = -24 + 6x Solving -38 + 20x = -24 + 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. -38 + 20x + -6x = -24 + 6x + -6x Combine like terms: 20x + -6x = 14x -38 + 14x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -38 + 14x = -24 + 0 -38 + 14x = -24 Add '38' to each side of the equation. -38 + 38 + 14x = -24 + 38 Combine like terms: -38 + 38 = 0 0 + 14x = -24 + 38 14x = -24 + 38 Combine like terms: -24 + 38 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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