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Simplifying 3(x + -2) = 10(5 + -3x) Reorder the terms: 3(-2 + x) = 10(5 + -3x) (-2 * 3 + x * 3) = 10(5 + -3x) (-6 + 3x) = 10(5 + -3x) -6 + 3x = (5 * 10 + -3x * 10) -6 + 3x = (50 + -30x) Solving -6 + 3x = 50 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -6 + 3x + 30x = 50 + -30x + 30x Combine like terms: 3x + 30x = 33x -6 + 33x = 50 + -30x + 30x Combine like terms: -30x + 30x = 0 -6 + 33x = 50 + 0 -6 + 33x = 50 Add '6' to each side of the equation. -6 + 6 + 33x = 50 + 6 Combine like terms: -6 + 6 = 0 0 + 33x = 50 + 6 33x = 50 + 6 Combine like terms: 50 + 6 = 56 33x = 56 Divide each side by '33'. x = 1.696969697 Simplifying x = 1.696969697
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