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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 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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