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Simplifying 5x + -6 + -2x = 3(2 + -1x) + 18 Reorder the terms: -6 + 5x + -2x = 3(2 + -1x) + 18 Combine like terms: 5x + -2x = 3x -6 + 3x = 3(2 + -1x) + 18 -6 + 3x = (2 * 3 + -1x * 3) + 18 -6 + 3x = (6 + -3x) + 18 Reorder the terms: -6 + 3x = 6 + 18 + -3x Combine like terms: 6 + 18 = 24 -6 + 3x = 24 + -3x Solving -6 + 3x = 24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 3x + 3x = 24 + -3x + 3x Combine like terms: 3x + 3x = 6x -6 + 6x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 6x = 24 + 0 -6 + 6x = 24 Add '6' to each side of the equation. -6 + 6 + 6x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 24 + 6 6x = 24 + 6 Combine like terms: 24 + 6 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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