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Simplifying 2 + 4(x + -3) = 4[2 + -5(x + 4)] Reorder the terms: 2 + 4(-3 + x) = 4[2 + -5(x + 4)] 2 + (-3 * 4 + x * 4) = 4[2 + -5(x + 4)] 2 + (-12 + 4x) = 4[2 + -5(x + 4)] Combine like terms: 2 + -12 = -10 -10 + 4x = 4[2 + -5(x + 4)] Reorder the terms: -10 + 4x = 4[2 + -5(4 + x)] -10 + 4x = 4[2 + (4 * -5 + x * -5)] -10 + 4x = 4[2 + (-20 + -5x)] Combine like terms: 2 + -20 = -18 -10 + 4x = 4[-18 + -5x] -10 + 4x = [-18 * 4 + -5x * 4] -10 + 4x = [-72 + -20x] Solving -10 + 4x = -72 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -10 + 4x + 20x = -72 + -20x + 20x Combine like terms: 4x + 20x = 24x -10 + 24x = -72 + -20x + 20x Combine like terms: -20x + 20x = 0 -10 + 24x = -72 + 0 -10 + 24x = -72 Add '10' to each side of the equation. -10 + 10 + 24x = -72 + 10 Combine like terms: -10 + 10 = 0 0 + 24x = -72 + 10 24x = -72 + 10 Combine like terms: -72 + 10 = -62 24x = -62 Divide each side by '24'. x = -2.583333333 Simplifying x = -2.583333333
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