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Simplifying 4(2x + -5) + 6 = 4x + -2 Reorder the terms: 4(-5 + 2x) + 6 = 4x + -2 (-5 * 4 + 2x * 4) + 6 = 4x + -2 (-20 + 8x) + 6 = 4x + -2 Reorder the terms: -20 + 6 + 8x = 4x + -2 Combine like terms: -20 + 6 = -14 -14 + 8x = 4x + -2 Reorder the terms: -14 + 8x = -2 + 4x Solving -14 + 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. -14 + 8x + -4x = -2 + 4x + -4x Combine like terms: 8x + -4x = 4x -14 + 4x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 4x = -2 + 0 -14 + 4x = -2 Add '14' to each side of the equation. -14 + 14 + 4x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = -2 + 14 4x = -2 + 14 Combine like terms: -2 + 14 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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