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Simplifying 3(2 + -3x) + -5x = -2(x + 3) (2 * 3 + -3x * 3) + -5x = -2(x + 3) (6 + -9x) + -5x = -2(x + 3) Combine like terms: -9x + -5x = -14x 6 + -14x = -2(x + 3) Reorder the terms: 6 + -14x = -2(3 + x) 6 + -14x = (3 * -2 + x * -2) 6 + -14x = (-6 + -2x) Solving 6 + -14x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + -14x + 2x = -6 + -2x + 2x Combine like terms: -14x + 2x = -12x 6 + -12x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -12x = -6 + 0 6 + -12x = -6 Add '-6' to each side of the equation. 6 + -6 + -12x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -6 + -6 -12x = -6 + -6 Combine like terms: -6 + -6 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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