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Simplifying 6(5x + -5) = 11 + -1(3x + 6) Reorder the terms: 6(-5 + 5x) = 11 + -1(3x + 6) (-5 * 6 + 5x * 6) = 11 + -1(3x + 6) (-30 + 30x) = 11 + -1(3x + 6) Reorder the terms: -30 + 30x = 11 + -1(6 + 3x) -30 + 30x = 11 + (6 * -1 + 3x * -1) -30 + 30x = 11 + (-6 + -3x) Combine like terms: 11 + -6 = 5 -30 + 30x = 5 + -3x Solving -30 + 30x = 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. -30 + 30x + 3x = 5 + -3x + 3x Combine like terms: 30x + 3x = 33x -30 + 33x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + 33x = 5 + 0 -30 + 33x = 5 Add '30' to each side of the equation. -30 + 30 + 33x = 5 + 30 Combine like terms: -30 + 30 = 0 0 + 33x = 5 + 30 33x = 5 + 30 Combine like terms: 5 + 30 = 35 33x = 35 Divide each side by '33'. x = 1.060606061 Simplifying x = 1.060606061
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