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Simplifying 2(x + -4) = 5 + -3(3x + 1) Reorder the terms: 2(-4 + x) = 5 + -3(3x + 1) (-4 * 2 + x * 2) = 5 + -3(3x + 1) (-8 + 2x) = 5 + -3(3x + 1) Reorder the terms: -8 + 2x = 5 + -3(1 + 3x) -8 + 2x = 5 + (1 * -3 + 3x * -3) -8 + 2x = 5 + (-3 + -9x) Combine like terms: 5 + -3 = 2 -8 + 2x = 2 + -9x Solving -8 + 2x = 2 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -8 + 2x + 9x = 2 + -9x + 9x Combine like terms: 2x + 9x = 11x -8 + 11x = 2 + -9x + 9x Combine like terms: -9x + 9x = 0 -8 + 11x = 2 + 0 -8 + 11x = 2 Add '8' to each side of the equation. -8 + 8 + 11x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 11x = 2 + 8 11x = 2 + 8 Combine like terms: 2 + 8 = 10 11x = 10 Divide each side by '11'. x = 0.9090909091 Simplifying x = 0.9090909091
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