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Simplifying (3x + -10) = 48 + -3(x + 2) Reorder the terms: (-10 + 3x) = 48 + -3(x + 2) Remove parenthesis around (-10 + 3x) -10 + 3x = 48 + -3(x + 2) Reorder the terms: -10 + 3x = 48 + -3(2 + x) -10 + 3x = 48 + (2 * -3 + x * -3) -10 + 3x = 48 + (-6 + -3x) Combine like terms: 48 + -6 = 42 -10 + 3x = 42 + -3x Solving -10 + 3x = 42 + -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. -10 + 3x + 3x = 42 + -3x + 3x Combine like terms: 3x + 3x = 6x -10 + 6x = 42 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 6x = 42 + 0 -10 + 6x = 42 Add '10' to each side of the equation. -10 + 10 + 6x = 42 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 42 + 10 6x = 42 + 10 Combine like terms: 42 + 10 = 52 6x = 52 Divide each side by '6'. x = 8.666666667 Simplifying x = 8.666666667
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