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Simplifying -3(x + -2) = 6(2x + 3) Reorder the terms: -3(-2 + x) = 6(2x + 3) (-2 * -3 + x * -3) = 6(2x + 3) (6 + -3x) = 6(2x + 3) Reorder the terms: 6 + -3x = 6(3 + 2x) 6 + -3x = (3 * 6 + 2x * 6) 6 + -3x = (18 + 12x) Solving 6 + -3x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + -3x + -12x = 18 + 12x + -12x Combine like terms: -3x + -12x = -15x 6 + -15x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -15x = 18 + 0 6 + -15x = 18 Add '-6' to each side of the equation. 6 + -6 + -15x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -15x = 18 + -6 -15x = 18 + -6 Combine like terms: 18 + -6 = 12 -15x = 12 Divide each side by '-15'. x = -0.8 Simplifying x = -0.8
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