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Simplifying 2(6x + 3) = 18 + -3(-3x + 16) Reorder the terms: 2(3 + 6x) = 18 + -3(-3x + 16) (3 * 2 + 6x * 2) = 18 + -3(-3x + 16) (6 + 12x) = 18 + -3(-3x + 16) Reorder the terms: 6 + 12x = 18 + -3(16 + -3x) 6 + 12x = 18 + (16 * -3 + -3x * -3) 6 + 12x = 18 + (-48 + 9x) Combine like terms: 18 + -48 = -30 6 + 12x = -30 + 9x Solving 6 + 12x = -30 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 12x + -9x = -30 + 9x + -9x Combine like terms: 12x + -9x = 3x 6 + 3x = -30 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + 3x = -30 + 0 6 + 3x = -30 Add '-6' to each side of the equation. 6 + -6 + 3x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -30 + -6 3x = -30 + -6 Combine like terms: -30 + -6 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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