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Simplifying -5(3x + -2) + 3x = 5x + -6 Reorder the terms: -5(-2 + 3x) + 3x = 5x + -6 (-2 * -5 + 3x * -5) + 3x = 5x + -6 (10 + -15x) + 3x = 5x + -6 Combine like terms: -15x + 3x = -12x 10 + -12x = 5x + -6 Reorder the terms: 10 + -12x = -6 + 5x Solving 10 + -12x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + -12x + -5x = -6 + 5x + -5x Combine like terms: -12x + -5x = -17x 10 + -17x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -17x = -6 + 0 10 + -17x = -6 Add '-10' to each side of the equation. 10 + -10 + -17x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -17x = -6 + -10 -17x = -6 + -10 Combine like terms: -6 + -10 = -16 -17x = -16 Divide each side by '-17'. x = 0.9411764706 Simplifying x = 0.9411764706
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