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Simplifying 5(x + -3) + -1(x + -1) = (x + 13) + -10 Reorder the terms: 5(-3 + x) + -1(x + -1) = (x + 13) + -10 (-3 * 5 + x * 5) + -1(x + -1) = (x + 13) + -10 (-15 + 5x) + -1(x + -1) = (x + 13) + -10 Reorder the terms: -15 + 5x + -1(-1 + x) = (x + 13) + -10 -15 + 5x + (-1 * -1 + x * -1) = (x + 13) + -10 -15 + 5x + (1 + -1x) = (x + 13) + -10 Reorder the terms: -15 + 1 + 5x + -1x = (x + 13) + -10 Combine like terms: -15 + 1 = -14 -14 + 5x + -1x = (x + 13) + -10 Combine like terms: 5x + -1x = 4x -14 + 4x = (x + 13) + -10 Reorder the terms: -14 + 4x = (13 + x) + -10 Remove parenthesis around (13 + x) -14 + 4x = 13 + x + -10 Reorder the terms: -14 + 4x = 13 + -10 + x Combine like terms: 13 + -10 = 3 -14 + 4x = 3 + x Solving -14 + 4x = 3 + 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. -14 + 4x + -1x = 3 + x + -1x Combine like terms: 4x + -1x = 3x -14 + 3x = 3 + x + -1x Combine like terms: x + -1x = 0 -14 + 3x = 3 + 0 -14 + 3x = 3 Add '14' to each side of the equation. -14 + 14 + 3x = 3 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 3 + 14 3x = 3 + 14 Combine like terms: 3 + 14 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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