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Simplifying 8 + x + -1(10 + 4x) + -2 = 3(7 + -2x) 8 + x + (10 * -1 + 4x * -1) + -2 = 3(7 + -2x) 8 + x + (-10 + -4x) + -2 = 3(7 + -2x) Reorder the terms: 8 + -10 + -2 + x + -4x = 3(7 + -2x) Combine like terms: 8 + -10 = -2 -2 + -2 + x + -4x = 3(7 + -2x) Combine like terms: -2 + -2 = -4 -4 + x + -4x = 3(7 + -2x) Combine like terms: x + -4x = -3x -4 + -3x = 3(7 + -2x) -4 + -3x = (7 * 3 + -2x * 3) -4 + -3x = (21 + -6x) Solving -4 + -3x = 21 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4 + -3x + 6x = 21 + -6x + 6x Combine like terms: -3x + 6x = 3x -4 + 3x = 21 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 3x = 21 + 0 -4 + 3x = 21 Add '4' to each side of the equation. -4 + 4 + 3x = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 21 + 4 3x = 21 + 4 Combine like terms: 21 + 4 = 25 3x = 25 Divide each side by '3'. x = 8.333333333 Simplifying x = 8.333333333
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