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Simplifying -4x + -46 = 4(5x + 2) + -6 Reorder the terms: -46 + -4x = 4(5x + 2) + -6 Reorder the terms: -46 + -4x = 4(2 + 5x) + -6 -46 + -4x = (2 * 4 + 5x * 4) + -6 -46 + -4x = (8 + 20x) + -6 Reorder the terms: -46 + -4x = 8 + -6 + 20x Combine like terms: 8 + -6 = 2 -46 + -4x = 2 + 20x Solving -46 + -4x = 2 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -46 + -4x + -20x = 2 + 20x + -20x Combine like terms: -4x + -20x = -24x -46 + -24x = 2 + 20x + -20x Combine like terms: 20x + -20x = 0 -46 + -24x = 2 + 0 -46 + -24x = 2 Add '46' to each side of the equation. -46 + 46 + -24x = 2 + 46 Combine like terms: -46 + 46 = 0 0 + -24x = 2 + 46 -24x = 2 + 46 Combine like terms: 2 + 46 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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