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Simplifying 5(x + -3) = 6(2 + -1x) + 6 Reorder the terms: 5(-3 + x) = 6(2 + -1x) + 6 (-3 * 5 + x * 5) = 6(2 + -1x) + 6 (-15 + 5x) = 6(2 + -1x) + 6 -15 + 5x = (2 * 6 + -1x * 6) + 6 -15 + 5x = (12 + -6x) + 6 Reorder the terms: -15 + 5x = 12 + 6 + -6x Combine like terms: 12 + 6 = 18 -15 + 5x = 18 + -6x Solving -15 + 5x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -15 + 5x + 6x = 18 + -6x + 6x Combine like terms: 5x + 6x = 11x -15 + 11x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 11x = 18 + 0 -15 + 11x = 18 Add '15' to each side of the equation. -15 + 15 + 11x = 18 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = 18 + 15 11x = 18 + 15 Combine like terms: 18 + 15 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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