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Simplifying 4(2x + -5) + -2 = 4(x + -5) + 18 Reorder the terms: 4(-5 + 2x) + -2 = 4(x + -5) + 18 (-5 * 4 + 2x * 4) + -2 = 4(x + -5) + 18 (-20 + 8x) + -2 = 4(x + -5) + 18 Reorder the terms: -20 + -2 + 8x = 4(x + -5) + 18 Combine like terms: -20 + -2 = -22 -22 + 8x = 4(x + -5) + 18 Reorder the terms: -22 + 8x = 4(-5 + x) + 18 -22 + 8x = (-5 * 4 + x * 4) + 18 -22 + 8x = (-20 + 4x) + 18 Reorder the terms: -22 + 8x = -20 + 18 + 4x Combine like terms: -20 + 18 = -2 -22 + 8x = -2 + 4x Solving -22 + 8x = -2 + 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. -22 + 8x + -4x = -2 + 4x + -4x Combine like terms: 8x + -4x = 4x -22 + 4x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + 4x = -2 + 0 -22 + 4x = -2 Add '22' to each side of the equation. -22 + 22 + 4x = -2 + 22 Combine like terms: -22 + 22 = 0 0 + 4x = -2 + 22 4x = -2 + 22 Combine like terms: -2 + 22 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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