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Simplifying 3(x + -3) = 11 + -5(3x + 1) Reorder the terms: 3(-3 + x) = 11 + -5(3x + 1) (-3 * 3 + x * 3) = 11 + -5(3x + 1) (-9 + 3x) = 11 + -5(3x + 1) Reorder the terms: -9 + 3x = 11 + -5(1 + 3x) -9 + 3x = 11 + (1 * -5 + 3x * -5) -9 + 3x = 11 + (-5 + -15x) Combine like terms: 11 + -5 = 6 -9 + 3x = 6 + -15x Solving -9 + 3x = 6 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -9 + 3x + 15x = 6 + -15x + 15x Combine like terms: 3x + 15x = 18x -9 + 18x = 6 + -15x + 15x Combine like terms: -15x + 15x = 0 -9 + 18x = 6 + 0 -9 + 18x = 6 Add '9' to each side of the equation. -9 + 9 + 18x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 18x = 6 + 9 18x = 6 + 9 Combine like terms: 6 + 9 = 15 18x = 15 Divide each side by '18'. x = 0.8333333333 Simplifying x = 0.8333333333
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