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Simplifying 6(3x + -55) = 2(4x + 10) Reorder the terms: 6(-55 + 3x) = 2(4x + 10) (-55 * 6 + 3x * 6) = 2(4x + 10) (-330 + 18x) = 2(4x + 10) Reorder the terms: -330 + 18x = 2(10 + 4x) -330 + 18x = (10 * 2 + 4x * 2) -330 + 18x = (20 + 8x) Solving -330 + 18x = 20 + 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. -330 + 18x + -8x = 20 + 8x + -8x Combine like terms: 18x + -8x = 10x -330 + 10x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -330 + 10x = 20 + 0 -330 + 10x = 20 Add '330' to each side of the equation. -330 + 330 + 10x = 20 + 330 Combine like terms: -330 + 330 = 0 0 + 10x = 20 + 330 10x = 20 + 330 Combine like terms: 20 + 330 = 350 10x = 350 Divide each side by '10'. x = 35 Simplifying x = 35
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