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Simplifying 8x + -3(x + 12) = -2(x + 10) + -2 Reorder the terms: 8x + -3(12 + x) = -2(x + 10) + -2 8x + (12 * -3 + x * -3) = -2(x + 10) + -2 8x + (-36 + -3x) = -2(x + 10) + -2 Reorder the terms: -36 + 8x + -3x = -2(x + 10) + -2 Combine like terms: 8x + -3x = 5x -36 + 5x = -2(x + 10) + -2 Reorder the terms: -36 + 5x = -2(10 + x) + -2 -36 + 5x = (10 * -2 + x * -2) + -2 -36 + 5x = (-20 + -2x) + -2 Reorder the terms: -36 + 5x = -20 + -2 + -2x Combine like terms: -20 + -2 = -22 -36 + 5x = -22 + -2x Solving -36 + 5x = -22 + -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. -36 + 5x + 2x = -22 + -2x + 2x Combine like terms: 5x + 2x = 7x -36 + 7x = -22 + -2x + 2x Combine like terms: -2x + 2x = 0 -36 + 7x = -22 + 0 -36 + 7x = -22 Add '36' to each side of the equation. -36 + 36 + 7x = -22 + 36 Combine like terms: -36 + 36 = 0 0 + 7x = -22 + 36 7x = -22 + 36 Combine like terms: -22 + 36 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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