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Simplifying 4(3x + -2) + -1(7x + 8) = 2(x + -5) Reorder the terms: 4(-2 + 3x) + -1(7x + 8) = 2(x + -5) (-2 * 4 + 3x * 4) + -1(7x + 8) = 2(x + -5) (-8 + 12x) + -1(7x + 8) = 2(x + -5) Reorder the terms: -8 + 12x + -1(8 + 7x) = 2(x + -5) -8 + 12x + (8 * -1 + 7x * -1) = 2(x + -5) -8 + 12x + (-8 + -7x) = 2(x + -5) Reorder the terms: -8 + -8 + 12x + -7x = 2(x + -5) Combine like terms: -8 + -8 = -16 -16 + 12x + -7x = 2(x + -5) Combine like terms: 12x + -7x = 5x -16 + 5x = 2(x + -5) Reorder the terms: -16 + 5x = 2(-5 + x) -16 + 5x = (-5 * 2 + x * 2) -16 + 5x = (-10 + 2x) Solving -16 + 5x = -10 + 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. -16 + 5x + -2x = -10 + 2x + -2x Combine like terms: 5x + -2x = 3x -16 + 3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 3x = -10 + 0 -16 + 3x = -10 Add '16' to each side of the equation. -16 + 16 + 3x = -10 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = -10 + 16 3x = -10 + 16 Combine like terms: -10 + 16 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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