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Simplifying 6(2x + -3) = 5x + -10 Reorder the terms: 6(-3 + 2x) = 5x + -10 (-3 * 6 + 2x * 6) = 5x + -10 (-18 + 12x) = 5x + -10 Reorder the terms: -18 + 12x = -10 + 5x Solving -18 + 12x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 12x + -5x = -10 + 5x + -5x Combine like terms: 12x + -5x = 7x -18 + 7x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 7x = -10 + 0 -18 + 7x = -10 Add '18' to each side of the equation. -18 + 18 + 7x = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = -10 + 18 7x = -10 + 18 Combine like terms: -10 + 18 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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