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Simplifying 2x + -5(4 + -3x) = x + 12 2x + (4 * -5 + -3x * -5) = x + 12 2x + (-20 + 15x) = x + 12 Reorder the terms: -20 + 2x + 15x = x + 12 Combine like terms: 2x + 15x = 17x -20 + 17x = x + 12 Reorder the terms: -20 + 17x = 12 + x Solving -20 + 17x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -20 + 17x + -1x = 12 + x + -1x Combine like terms: 17x + -1x = 16x -20 + 16x = 12 + x + -1x Combine like terms: x + -1x = 0 -20 + 16x = 12 + 0 -20 + 16x = 12 Add '20' to each side of the equation. -20 + 20 + 16x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 16x = 12 + 20 16x = 12 + 20 Combine like terms: 12 + 20 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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