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Simplifying 4(3x + -8) + -5 = 4(x + -5) + 23 Reorder the terms: 4(-8 + 3x) + -5 = 4(x + -5) + 23 (-8 * 4 + 3x * 4) + -5 = 4(x + -5) + 23 (-32 + 12x) + -5 = 4(x + -5) + 23 Reorder the terms: -32 + -5 + 12x = 4(x + -5) + 23 Combine like terms: -32 + -5 = -37 -37 + 12x = 4(x + -5) + 23 Reorder the terms: -37 + 12x = 4(-5 + x) + 23 -37 + 12x = (-5 * 4 + x * 4) + 23 -37 + 12x = (-20 + 4x) + 23 Reorder the terms: -37 + 12x = -20 + 23 + 4x Combine like terms: -20 + 23 = 3 -37 + 12x = 3 + 4x Solving -37 + 12x = 3 + 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 + 12x + -4x = 3 + 4x + -4x Combine like terms: 12x + -4x = 8x -37 + 8x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -37 + 8x = 3 + 0 -37 + 8x = 3 Add '37' to each side of the equation. -37 + 37 + 8x = 3 + 37 Combine like terms: -37 + 37 = 0 0 + 8x = 3 + 37 8x = 3 + 37 Combine like terms: 3 + 37 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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