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Simplifying 10x + 5(x + -3) = 2x + 15 Reorder the terms: 10x + 5(-3 + x) = 2x + 15 10x + (-3 * 5 + x * 5) = 2x + 15 10x + (-15 + 5x) = 2x + 15 Reorder the terms: -15 + 10x + 5x = 2x + 15 Combine like terms: 10x + 5x = 15x -15 + 15x = 2x + 15 Reorder the terms: -15 + 15x = 15 + 2x Solving -15 + 15x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 15x + -2x = 15 + 2x + -2x Combine like terms: 15x + -2x = 13x -15 + 13x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 13x = 15 + 0 -15 + 13x = 15 Add '15' to each side of the equation. -15 + 15 + 13x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 15 + 15 13x = 15 + 15 Combine like terms: 15 + 15 = 30 13x = 30 Divide each side by '13'. x = 2.307692308 Simplifying x = 2.307692308
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