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Simplifying 3(6x + -10) = 8x + 40 Reorder the terms: 3(-10 + 6x) = 8x + 40 (-10 * 3 + 6x * 3) = 8x + 40 (-30 + 18x) = 8x + 40 Reorder the terms: -30 + 18x = 40 + 8x Solving -30 + 18x = 40 + 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. -30 + 18x + -8x = 40 + 8x + -8x Combine like terms: 18x + -8x = 10x -30 + 10x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + 10x = 40 + 0 -30 + 10x = 40 Add '30' to each side of the equation. -30 + 30 + 10x = 40 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = 40 + 30 10x = 40 + 30 Combine like terms: 40 + 30 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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