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Simplifying 6(x + -3) + 3x = 9 + 3(x + -5) Reorder the terms: 6(-3 + x) + 3x = 9 + 3(x + -5) (-3 * 6 + x * 6) + 3x = 9 + 3(x + -5) (-18 + 6x) + 3x = 9 + 3(x + -5) Combine like terms: 6x + 3x = 9x -18 + 9x = 9 + 3(x + -5) Reorder the terms: -18 + 9x = 9 + 3(-5 + x) -18 + 9x = 9 + (-5 * 3 + x * 3) -18 + 9x = 9 + (-15 + 3x) Combine like terms: 9 + -15 = -6 -18 + 9x = -6 + 3x Solving -18 + 9x = -6 + 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 + 9x + -3x = -6 + 3x + -3x Combine like terms: 9x + -3x = 6x -18 + 6x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 6x = -6 + 0 -18 + 6x = -6 Add '18' to each side of the equation. -18 + 18 + 6x = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = -6 + 18 6x = -6 + 18 Combine like terms: -6 + 18 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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