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Simplifying 2x + -4(x + 8) + -5 = 5(x + -6) Reorder the terms: 2x + -4(8 + x) + -5 = 5(x + -6) 2x + (8 * -4 + x * -4) + -5 = 5(x + -6) 2x + (-32 + -4x) + -5 = 5(x + -6) Reorder the terms: -32 + -5 + 2x + -4x = 5(x + -6) Combine like terms: -32 + -5 = -37 -37 + 2x + -4x = 5(x + -6) Combine like terms: 2x + -4x = -2x -37 + -2x = 5(x + -6) Reorder the terms: -37 + -2x = 5(-6 + x) -37 + -2x = (-6 * 5 + x * 5) -37 + -2x = (-30 + 5x) Solving -37 + -2x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -37 + -2x + -5x = -30 + 5x + -5x Combine like terms: -2x + -5x = -7x -37 + -7x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -37 + -7x = -30 + 0 -37 + -7x = -30 Add '37' to each side of the equation. -37 + 37 + -7x = -30 + 37 Combine like terms: -37 + 37 = 0 0 + -7x = -30 + 37 -7x = -30 + 37 Combine like terms: -30 + 37 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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