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Simplifying 12 + -5(x + -3) = 10 + 2x Reorder the terms: 12 + -5(-3 + x) = 10 + 2x 12 + (-3 * -5 + x * -5) = 10 + 2x 12 + (15 + -5x) = 10 + 2x Combine like terms: 12 + 15 = 27 27 + -5x = 10 + 2x Solving 27 + -5x = 10 + 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. 27 + -5x + -2x = 10 + 2x + -2x Combine like terms: -5x + -2x = -7x 27 + -7x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + -7x = 10 + 0 27 + -7x = 10 Add '-27' to each side of the equation. 27 + -27 + -7x = 10 + -27 Combine like terms: 27 + -27 = 0 0 + -7x = 10 + -27 -7x = 10 + -27 Combine like terms: 10 + -27 = -17 -7x = -17 Divide each side by '-7'. x = 2.428571429 Simplifying x = 2.428571429
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