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Simplifying 6(2x + -3) = 8x + 10 Reorder the terms: 6(-3 + 2x) = 8x + 10 (-3 * 6 + 2x * 6) = 8x + 10 (-18 + 12x) = 8x + 10 Reorder the terms: -18 + 12x = 10 + 8x Solving -18 + 12x = 10 + 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. -18 + 12x + -8x = 10 + 8x + -8x Combine like terms: 12x + -8x = 4x -18 + 4x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + 4x = 10 + 0 -18 + 4x = 10 Add '18' to each side of the equation. -18 + 18 + 4x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = 10 + 18 4x = 10 + 18 Combine like terms: 10 + 18 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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