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Simplifying 5(2x + -3) = x + -6 Reorder the terms: 5(-3 + 2x) = x + -6 (-3 * 5 + 2x * 5) = x + -6 (-15 + 10x) = x + -6 Reorder the terms: -15 + 10x = -6 + x Solving -15 + 10x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15 + 10x + -1x = -6 + x + -1x Combine like terms: 10x + -1x = 9x -15 + 9x = -6 + x + -1x Combine like terms: x + -1x = 0 -15 + 9x = -6 + 0 -15 + 9x = -6 Add '15' to each side of the equation. -15 + 15 + 9x = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = -6 + 15 9x = -6 + 15 Combine like terms: -6 + 15 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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