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Simplifying 2x + -1(10 + 3x) + 20 = 5x + -7 + 12 2x + (10 * -1 + 3x * -1) + 20 = 5x + -7 + 12 2x + (-10 + -3x) + 20 = 5x + -7 + 12 Reorder the terms: -10 + 20 + 2x + -3x = 5x + -7 + 12 Combine like terms: -10 + 20 = 10 10 + 2x + -3x = 5x + -7 + 12 Combine like terms: 2x + -3x = -1x 10 + -1x = 5x + -7 + 12 Reorder the terms: 10 + -1x = -7 + 12 + 5x Combine like terms: -7 + 12 = 5 10 + -1x = 5 + 5x Solving 10 + -1x = 5 + 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 + -1x + -5x = 5 + 5x + -5x Combine like terms: -1x + -5x = -6x 10 + -6x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -6x = 5 + 0 10 + -6x = 5 Add '-10' to each side of the equation. 10 + -10 + -6x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 5 + -10 -6x = 5 + -10 Combine like terms: 5 + -10 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333
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