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Simplifying 4 + -5(2x + 3) = 8[9(2x + -6) + 7] + -2 Reorder the terms: 4 + -5(3 + 2x) = 8[9(2x + -6) + 7] + -2 4 + (3 * -5 + 2x * -5) = 8[9(2x + -6) + 7] + -2 4 + (-15 + -10x) = 8[9(2x + -6) + 7] + -2 Combine like terms: 4 + -15 = -11 -11 + -10x = 8[9(2x + -6) + 7] + -2 Reorder the terms: -11 + -10x = 8[9(-6 + 2x) + 7] + -2 -11 + -10x = 8[(-6 * 9 + 2x * 9) + 7] + -2 -11 + -10x = 8[(-54 + 18x) + 7] + -2 Reorder the terms: -11 + -10x = 8[-54 + 7 + 18x] + -2 Combine like terms: -54 + 7 = -47 -11 + -10x = 8[-47 + 18x] + -2 -11 + -10x = [-47 * 8 + 18x * 8] + -2 -11 + -10x = [-376 + 144x] + -2 Reorder the terms: -11 + -10x = -376 + -2 + 144x Combine like terms: -376 + -2 = -378 -11 + -10x = -378 + 144x Solving -11 + -10x = -378 + 144x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-144x' to each side of the equation. -11 + -10x + -144x = -378 + 144x + -144x Combine like terms: -10x + -144x = -154x -11 + -154x = -378 + 144x + -144x Combine like terms: 144x + -144x = 0 -11 + -154x = -378 + 0 -11 + -154x = -378 Add '11' to each side of the equation. -11 + 11 + -154x = -378 + 11 Combine like terms: -11 + 11 = 0 0 + -154x = -378 + 11 -154x = -378 + 11 Combine like terms: -378 + 11 = -367 -154x = -367 Divide each side by '-154'. x = 2.383116883 Simplifying x = 2.383116883
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