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Simplifying 3(2x + -11) = 3(x + 10) Reorder the terms: 3(-11 + 2x) = 3(x + 10) (-11 * 3 + 2x * 3) = 3(x + 10) (-33 + 6x) = 3(x + 10) Reorder the terms: -33 + 6x = 3(10 + x) -33 + 6x = (10 * 3 + x * 3) -33 + 6x = (30 + 3x) Solving -33 + 6x = 30 + 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. -33 + 6x + -3x = 30 + 3x + -3x Combine like terms: 6x + -3x = 3x -33 + 3x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -33 + 3x = 30 + 0 -33 + 3x = 30 Add '33' to each side of the equation. -33 + 33 + 3x = 30 + 33 Combine like terms: -33 + 33 = 0 0 + 3x = 30 + 33 3x = 30 + 33 Combine like terms: 30 + 33 = 63 3x = 63 Divide each side by '3'. x = 21 Simplifying x = 21
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