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Simplifying 6 + 4(x + -3) = 4[6 + -5(x + 4)] Reorder the terms: 6 + 4(-3 + x) = 4[6 + -5(x + 4)] 6 + (-3 * 4 + x * 4) = 4[6 + -5(x + 4)] 6 + (-12 + 4x) = 4[6 + -5(x + 4)] Combine like terms: 6 + -12 = -6 -6 + 4x = 4[6 + -5(x + 4)] Reorder the terms: -6 + 4x = 4[6 + -5(4 + x)] -6 + 4x = 4[6 + (4 * -5 + x * -5)] -6 + 4x = 4[6 + (-20 + -5x)] Combine like terms: 6 + -20 = -14 -6 + 4x = 4[-14 + -5x] -6 + 4x = [-14 * 4 + -5x * 4] -6 + 4x = [-56 + -20x] Solving -6 + 4x = -56 + -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. -6 + 4x + 20x = -56 + -20x + 20x Combine like terms: 4x + 20x = 24x -6 + 24x = -56 + -20x + 20x Combine like terms: -20x + 20x = 0 -6 + 24x = -56 + 0 -6 + 24x = -56 Add '6' to each side of the equation. -6 + 6 + 24x = -56 + 6 Combine like terms: -6 + 6 = 0 0 + 24x = -56 + 6 24x = -56 + 6 Combine like terms: -56 + 6 = -50 24x = -50 Divide each side by '24'. x = -2.083333333 Simplifying x = -2.083333333
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