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Simplifying 5(x + -2) + -1(x + 3) = x + -8 Reorder the terms: 5(-2 + x) + -1(x + 3) = x + -8 (-2 * 5 + x * 5) + -1(x + 3) = x + -8 (-10 + 5x) + -1(x + 3) = x + -8 Reorder the terms: -10 + 5x + -1(3 + x) = x + -8 -10 + 5x + (3 * -1 + x * -1) = x + -8 -10 + 5x + (-3 + -1x) = x + -8 Reorder the terms: -10 + -3 + 5x + -1x = x + -8 Combine like terms: -10 + -3 = -13 -13 + 5x + -1x = x + -8 Combine like terms: 5x + -1x = 4x -13 + 4x = x + -8 Reorder the terms: -13 + 4x = -8 + x Solving -13 + 4x = -8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + 4x + -1x = -8 + x + -1x Combine like terms: 4x + -1x = 3x -13 + 3x = -8 + x + -1x Combine like terms: x + -1x = 0 -13 + 3x = -8 + 0 -13 + 3x = -8 Add '13' to each side of the equation. -13 + 13 + 3x = -8 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = -8 + 13 3x = -8 + 13 Combine like terms: -8 + 13 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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