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Simplifying 6(x + -3) = 9x + -3(2x + -1) Reorder the terms: 6(-3 + x) = 9x + -3(2x + -1) (-3 * 6 + x * 6) = 9x + -3(2x + -1) (-18 + 6x) = 9x + -3(2x + -1) Reorder the terms: -18 + 6x = 9x + -3(-1 + 2x) -18 + 6x = 9x + (-1 * -3 + 2x * -3) -18 + 6x = 9x + (3 + -6x) Reorder the terms: -18 + 6x = 3 + 9x + -6x Combine like terms: 9x + -6x = 3x -18 + 6x = 3 + 3x Solving -18 + 6x = 3 + 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. -18 + 6x + -3x = 3 + 3x + -3x Combine like terms: 6x + -3x = 3x -18 + 3x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 3x = 3 + 0 -18 + 3x = 3 Add '18' to each side of the equation. -18 + 18 + 3x = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 3 + 18 3x = 3 + 18 Combine like terms: 3 + 18 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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