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Simplifying 13 + -4(x + 6) + 8 = 5(x + -1) + 32 + x Reorder the terms: 13 + -4(6 + x) + 8 = 5(x + -1) + 32 + x 13 + (6 * -4 + x * -4) + 8 = 5(x + -1) + 32 + x 13 + (-24 + -4x) + 8 = 5(x + -1) + 32 + x Reorder the terms: 13 + -24 + 8 + -4x = 5(x + -1) + 32 + x Combine like terms: 13 + -24 = -11 -11 + 8 + -4x = 5(x + -1) + 32 + x Combine like terms: -11 + 8 = -3 -3 + -4x = 5(x + -1) + 32 + x Reorder the terms: -3 + -4x = 5(-1 + x) + 32 + x -3 + -4x = (-1 * 5 + x * 5) + 32 + x -3 + -4x = (-5 + 5x) + 32 + x Reorder the terms: -3 + -4x = -5 + 32 + 5x + x Combine like terms: -5 + 32 = 27 -3 + -4x = 27 + 5x + x Combine like terms: 5x + x = 6x -3 + -4x = 27 + 6x Solving -3 + -4x = 27 + 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. -3 + -4x + -6x = 27 + 6x + -6x Combine like terms: -4x + -6x = -10x -3 + -10x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -10x = 27 + 0 -3 + -10x = 27 Add '3' to each side of the equation. -3 + 3 + -10x = 27 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 27 + 3 -10x = 27 + 3 Combine like terms: 27 + 3 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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