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Simplifying 2 + -5(2x + -3) = 12 + -3x Reorder the terms: 2 + -5(-3 + 2x) = 12 + -3x 2 + (-3 * -5 + 2x * -5) = 12 + -3x 2 + (15 + -10x) = 12 + -3x Combine like terms: 2 + 15 = 17 17 + -10x = 12 + -3x Solving 17 + -10x = 12 + -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. 17 + -10x + 3x = 12 + -3x + 3x Combine like terms: -10x + 3x = -7x 17 + -7x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 17 + -7x = 12 + 0 17 + -7x = 12 Add '-17' to each side of the equation. 17 + -17 + -7x = 12 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = 12 + -17 -7x = 12 + -17 Combine like terms: 12 + -17 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143
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