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Simplifying 2(10x + 7) + -2 = 5(x + -4) Reorder the terms: 2(7 + 10x) + -2 = 5(x + -4) (7 * 2 + 10x * 2) + -2 = 5(x + -4) (14 + 20x) + -2 = 5(x + -4) Reorder the terms: 14 + -2 + 20x = 5(x + -4) Combine like terms: 14 + -2 = 12 12 + 20x = 5(x + -4) Reorder the terms: 12 + 20x = 5(-4 + x) 12 + 20x = (-4 * 5 + x * 5) 12 + 20x = (-20 + 5x) Solving 12 + 20x = -20 + 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. 12 + 20x + -5x = -20 + 5x + -5x Combine like terms: 20x + -5x = 15x 12 + 15x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 15x = -20 + 0 12 + 15x = -20 Add '-12' to each side of the equation. 12 + -12 + 15x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 15x = -20 + -12 15x = -20 + -12 Combine like terms: -20 + -12 = -32 15x = -32 Divide each side by '15'. x = -2.133333333 Simplifying x = -2.133333333
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