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Simplifying 3x + -1(48 + -3) = 2 + -3(x + -1) Combine like terms: 48 + -3 = 45 3x + -1(45) = 2 + -3(x + -1) Multiply -1 * 45 3x + -45 = 2 + -3(x + -1) Reorder the terms: -45 + 3x = 2 + -3(x + -1) Reorder the terms: -45 + 3x = 2 + -3(-1 + x) -45 + 3x = 2 + (-1 * -3 + x * -3) -45 + 3x = 2 + (3 + -3x) Combine like terms: 2 + 3 = 5 -45 + 3x = 5 + -3x Solving -45 + 3x = 5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -45 + 3x + 3x = 5 + -3x + 3x Combine like terms: 3x + 3x = 6x -45 + 6x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -45 + 6x = 5 + 0 -45 + 6x = 5 Add '45' to each side of the equation. -45 + 45 + 6x = 5 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = 5 + 45 6x = 5 + 45 Combine like terms: 5 + 45 = 50 6x = 50 Divide each side by '6'. x = 8.333333333 Simplifying x = 8.333333333
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