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Simplifying 5(x + -3) + -1(x + -1) = 1(x + 3) + -10 Reorder the terms: 5(-3 + x) + -1(x + -1) = 1(x + 3) + -10 (-3 * 5 + x * 5) + -1(x + -1) = 1(x + 3) + -10 (-15 + 5x) + -1(x + -1) = 1(x + 3) + -10 Reorder the terms: -15 + 5x + -1(-1 + x) = 1(x + 3) + -10 -15 + 5x + (-1 * -1 + x * -1) = 1(x + 3) + -10 -15 + 5x + (1 + -1x) = 1(x + 3) + -10 Reorder the terms: -15 + 1 + 5x + -1x = 1(x + 3) + -10 Combine like terms: -15 + 1 = -14 -14 + 5x + -1x = 1(x + 3) + -10 Combine like terms: 5x + -1x = 4x -14 + 4x = 1(x + 3) + -10 Reorder the terms: -14 + 4x = 1(3 + x) + -10 -14 + 4x = (3 * 1 + x * 1) + -10 -14 + 4x = (3 + 1x) + -10 Reorder the terms: -14 + 4x = 3 + -10 + 1x Combine like terms: 3 + -10 = -7 -14 + 4x = -7 + 1x Solving -14 + 4x = -7 + 1x 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 = -7 + 1x + -1x Combine like terms: 4x + -1x = 3x -14 + 3x = -7 + 1x + -1x Combine like terms: 1x + -1x = 0 -14 + 3x = -7 + 0 -14 + 3x = -7 Add '14' to each side of the equation. -14 + 14 + 3x = -7 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = -7 + 14 3x = -7 + 14 Combine like terms: -7 + 14 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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