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Simplifying 8(6x + -3) = 22 + 2x Reorder the terms: 8(-3 + 6x) = 22 + 2x (-3 * 8 + 6x * 8) = 22 + 2x (-24 + 48x) = 22 + 2x Solving -24 + 48x = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 48x + -2x = 22 + 2x + -2x Combine like terms: 48x + -2x = 46x -24 + 46x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 46x = 22 + 0 -24 + 46x = 22 Add '24' to each side of the equation. -24 + 24 + 46x = 22 + 24 Combine like terms: -24 + 24 = 0 0 + 46x = 22 + 24 46x = 22 + 24 Combine like terms: 22 + 24 = 46 46x = 46 Divide each side by '46'. x = 1 Simplifying x = 1
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