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Simplifying 6(2x + 3) = -3(x + -2) Reorder the terms: 6(3 + 2x) = -3(x + -2) (3 * 6 + 2x * 6) = -3(x + -2) (18 + 12x) = -3(x + -2) Reorder the terms: 18 + 12x = -3(-2 + x) 18 + 12x = (-2 * -3 + x * -3) 18 + 12x = (6 + -3x) Solving 18 + 12x = 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 + 12x + 3x = 6 + -3x + 3x Combine like terms: 12x + 3x = 15x 18 + 15x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 18 + 15x = 6 + 0 18 + 15x = 6 Add '-18' to each side of the equation. 18 + -18 + 15x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 15x = 6 + -18 15x = 6 + -18 Combine like terms: 6 + -18 = -12 15x = -12 Divide each side by '15'. x = -0.8 Simplifying x = -0.8
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