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Simplifying 5x + -3(1 + -2x) = 2(x + 4) + -5 5x + (1 * -3 + -2x * -3) = 2(x + 4) + -5 5x + (-3 + 6x) = 2(x + 4) + -5 Reorder the terms: -3 + 5x + 6x = 2(x + 4) + -5 Combine like terms: 5x + 6x = 11x -3 + 11x = 2(x + 4) + -5 Reorder the terms: -3 + 11x = 2(4 + x) + -5 -3 + 11x = (4 * 2 + x * 2) + -5 -3 + 11x = (8 + 2x) + -5 Reorder the terms: -3 + 11x = 8 + -5 + 2x Combine like terms: 8 + -5 = 3 -3 + 11x = 3 + 2x Solving -3 + 11x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 11x + -2x = 3 + 2x + -2x Combine like terms: 11x + -2x = 9x -3 + 9x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 9x = 3 + 0 -3 + 9x = 3 Add '3' to each side of the equation. -3 + 3 + 9x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 3 + 3 9x = 3 + 3 Combine like terms: 3 + 3 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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