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Simplifying 4(2x + -8) + -5 = 4(x + -5) + -1 Reorder the terms: 4(-8 + 2x) + -5 = 4(x + -5) + -1 (-8 * 4 + 2x * 4) + -5 = 4(x + -5) + -1 (-32 + 8x) + -5 = 4(x + -5) + -1 Reorder the terms: -32 + -5 + 8x = 4(x + -5) + -1 Combine like terms: -32 + -5 = -37 -37 + 8x = 4(x + -5) + -1 Reorder the terms: -37 + 8x = 4(-5 + x) + -1 -37 + 8x = (-5 * 4 + x * 4) + -1 -37 + 8x = (-20 + 4x) + -1 Reorder the terms: -37 + 8x = -20 + -1 + 4x Combine like terms: -20 + -1 = -21 -37 + 8x = -21 + 4x Solving -37 + 8x = -21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -37 + 8x + -4x = -21 + 4x + -4x Combine like terms: 8x + -4x = 4x -37 + 4x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -37 + 4x = -21 + 0 -37 + 4x = -21 Add '37' to each side of the equation. -37 + 37 + 4x = -21 + 37 Combine like terms: -37 + 37 = 0 0 + 4x = -21 + 37 4x = -21 + 37 Combine like terms: -21 + 37 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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