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Simplifying x + 5(x + -4) = 3(x + -8) + -5 Reorder the terms: x + 5(-4 + x) = 3(x + -8) + -5 x + (-4 * 5 + x * 5) = 3(x + -8) + -5 x + (-20 + 5x) = 3(x + -8) + -5 Reorder the terms: -20 + x + 5x = 3(x + -8) + -5 Combine like terms: x + 5x = 6x -20 + 6x = 3(x + -8) + -5 Reorder the terms: -20 + 6x = 3(-8 + x) + -5 -20 + 6x = (-8 * 3 + x * 3) + -5 -20 + 6x = (-24 + 3x) + -5 Reorder the terms: -20 + 6x = -24 + -5 + 3x Combine like terms: -24 + -5 = -29 -20 + 6x = -29 + 3x Solving -20 + 6x = -29 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + 6x + -3x = -29 + 3x + -3x Combine like terms: 6x + -3x = 3x -20 + 3x = -29 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 3x = -29 + 0 -20 + 3x = -29 Add '20' to each side of the equation. -20 + 20 + 3x = -29 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = -29 + 20 3x = -29 + 20 Combine like terms: -29 + 20 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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