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Simplifying 10x + -9 + 5x = 5(6x + -4) + 6 Reorder the terms: -9 + 10x + 5x = 5(6x + -4) + 6 Combine like terms: 10x + 5x = 15x -9 + 15x = 5(6x + -4) + 6 Reorder the terms: -9 + 15x = 5(-4 + 6x) + 6 -9 + 15x = (-4 * 5 + 6x * 5) + 6 -9 + 15x = (-20 + 30x) + 6 Reorder the terms: -9 + 15x = -20 + 6 + 30x Combine like terms: -20 + 6 = -14 -9 + 15x = -14 + 30x Solving -9 + 15x = -14 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -9 + 15x + -30x = -14 + 30x + -30x Combine like terms: 15x + -30x = -15x -9 + -15x = -14 + 30x + -30x Combine like terms: 30x + -30x = 0 -9 + -15x = -14 + 0 -9 + -15x = -14 Add '9' to each side of the equation. -9 + 9 + -15x = -14 + 9 Combine like terms: -9 + 9 = 0 0 + -15x = -14 + 9 -15x = -14 + 9 Combine like terms: -14 + 9 = -5 -15x = -5 Divide each side by '-15'. x = 0.3333333333 Simplifying x = 0.3333333333
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