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Simplifying 4(4x + -5) + 6 = 24x + -14 Reorder the terms: 4(-5 + 4x) + 6 = 24x + -14 (-5 * 4 + 4x * 4) + 6 = 24x + -14 (-20 + 16x) + 6 = 24x + -14 Reorder the terms: -20 + 6 + 16x = 24x + -14 Combine like terms: -20 + 6 = -14 -14 + 16x = 24x + -14 Reorder the terms: -14 + 16x = -14 + 24x Add '14' to each side of the equation. -14 + 14 + 16x = -14 + 14 + 24x Combine like terms: -14 + 14 = 0 0 + 16x = -14 + 14 + 24x 16x = -14 + 14 + 24x Combine like terms: -14 + 14 = 0 16x = 0 + 24x 16x = 24x Solving 16x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 16x + -24x = 24x + -24x Combine like terms: 16x + -24x = -8x -8x = 24x + -24x Combine like terms: 24x + -24x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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