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Simplifying 5(x + -3) = 6 + -1(x + 1) Reorder the terms: 5(-3 + x) = 6 + -1(x + 1) (-3 * 5 + x * 5) = 6 + -1(x + 1) (-15 + 5x) = 6 + -1(x + 1) Reorder the terms: -15 + 5x = 6 + -1(1 + x) -15 + 5x = 6 + (1 * -1 + x * -1) -15 + 5x = 6 + (-1 + -1x) Combine like terms: 6 + -1 = 5 -15 + 5x = 5 + -1x Solving -15 + 5x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + 5x + x = 5 + -1x + x Combine like terms: 5x + x = 6x -15 + 6x = 5 + -1x + x Combine like terms: -1x + x = 0 -15 + 6x = 5 + 0 -15 + 6x = 5 Add '15' to each side of the equation. -15 + 15 + 6x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 5 + 15 6x = 5 + 15 Combine like terms: 5 + 15 = 20 6x = 20 Divide each side by '6'. x = 3.333333333 Simplifying x = 3.333333333
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