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Simplifying 5x + -3(2 + -1x) = 5(x + -2) + -3 5x + (2 * -3 + -1x * -3) = 5(x + -2) + -3 5x + (-6 + 3x) = 5(x + -2) + -3 Reorder the terms: -6 + 5x + 3x = 5(x + -2) + -3 Combine like terms: 5x + 3x = 8x -6 + 8x = 5(x + -2) + -3 Reorder the terms: -6 + 8x = 5(-2 + x) + -3 -6 + 8x = (-2 * 5 + x * 5) + -3 -6 + 8x = (-10 + 5x) + -3 Reorder the terms: -6 + 8x = -10 + -3 + 5x Combine like terms: -10 + -3 = -13 -6 + 8x = -13 + 5x Solving -6 + 8x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 8x + -5x = -13 + 5x + -5x Combine like terms: 8x + -5x = 3x -6 + 3x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 3x = -13 + 0 -6 + 3x = -13 Add '6' to each side of the equation. -6 + 6 + 3x = -13 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -13 + 6 3x = -13 + 6 Combine like terms: -13 + 6 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333
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