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Simplifying 4(2x + -5) + -5 = 4(x + -3) + -5 Reorder the terms: 4(-5 + 2x) + -5 = 4(x + -3) + -5 (-5 * 4 + 2x * 4) + -5 = 4(x + -3) + -5 (-20 + 8x) + -5 = 4(x + -3) + -5 Reorder the terms: -20 + -5 + 8x = 4(x + -3) + -5 Combine like terms: -20 + -5 = -25 -25 + 8x = 4(x + -3) + -5 Reorder the terms: -25 + 8x = 4(-3 + x) + -5 -25 + 8x = (-3 * 4 + x * 4) + -5 -25 + 8x = (-12 + 4x) + -5 Reorder the terms: -25 + 8x = -12 + -5 + 4x Combine like terms: -12 + -5 = -17 -25 + 8x = -17 + 4x Solving -25 + 8x = -17 + 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. -25 + 8x + -4x = -17 + 4x + -4x Combine like terms: 8x + -4x = 4x -25 + 4x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + 4x = -17 + 0 -25 + 4x = -17 Add '25' to each side of the equation. -25 + 25 + 4x = -17 + 25 Combine like terms: -25 + 25 = 0 0 + 4x = -17 + 25 4x = -17 + 25 Combine like terms: -17 + 25 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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