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Simplifying 3(2x + 5) + -11 = 12 + -4x + -5x Reorder the terms: 3(5 + 2x) + -11 = 12 + -4x + -5x (5 * 3 + 2x * 3) + -11 = 12 + -4x + -5x (15 + 6x) + -11 = 12 + -4x + -5x Reorder the terms: 15 + -11 + 6x = 12 + -4x + -5x Combine like terms: 15 + -11 = 4 4 + 6x = 12 + -4x + -5x Combine like terms: -4x + -5x = -9x 4 + 6x = 12 + -9x Solving 4 + 6x = 12 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 4 + 6x + 9x = 12 + -9x + 9x Combine like terms: 6x + 9x = 15x 4 + 15x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 4 + 15x = 12 + 0 4 + 15x = 12 Add '-4' to each side of the equation. 4 + -4 + 15x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 15x = 12 + -4 15x = 12 + -4 Combine like terms: 12 + -4 = 8 15x = 8 Divide each side by '15'. x = 0.5333333333 Simplifying x = 0.5333333333
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