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Simplifying 2x + -11 + 4x = 5(3x + -4) + 6 Reorder the terms: -11 + 2x + 4x = 5(3x + -4) + 6 Combine like terms: 2x + 4x = 6x -11 + 6x = 5(3x + -4) + 6 Reorder the terms: -11 + 6x = 5(-4 + 3x) + 6 -11 + 6x = (-4 * 5 + 3x * 5) + 6 -11 + 6x = (-20 + 15x) + 6 Reorder the terms: -11 + 6x = -20 + 6 + 15x Combine like terms: -20 + 6 = -14 -11 + 6x = -14 + 15x Solving -11 + 6x = -14 + 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. -11 + 6x + -15x = -14 + 15x + -15x Combine like terms: 6x + -15x = -9x -11 + -9x = -14 + 15x + -15x Combine like terms: 15x + -15x = 0 -11 + -9x = -14 + 0 -11 + -9x = -14 Add '11' to each side of the equation. -11 + 11 + -9x = -14 + 11 Combine like terms: -11 + 11 = 0 0 + -9x = -14 + 11 -9x = -14 + 11 Combine like terms: -14 + 11 = -3 -9x = -3 Divide each side by '-9'. x = 0.3333333333 Simplifying x = 0.3333333333
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