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Simplifying 6x + -46 = -8(x + -3) Reorder the terms: -46 + 6x = -8(x + -3) Reorder the terms: -46 + 6x = -8(-3 + x) -46 + 6x = (-3 * -8 + x * -8) -46 + 6x = (24 + -8x) Solving -46 + 6x = 24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -46 + 6x + 8x = 24 + -8x + 8x Combine like terms: 6x + 8x = 14x -46 + 14x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -46 + 14x = 24 + 0 -46 + 14x = 24 Add '46' to each side of the equation. -46 + 46 + 14x = 24 + 46 Combine like terms: -46 + 46 = 0 0 + 14x = 24 + 46 14x = 24 + 46 Combine like terms: 24 + 46 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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