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Simplifying 6x + -5(x + 3) = 10x + 10 + -11x Reorder the terms: 6x + -5(3 + x) = 10x + 10 + -11x 6x + (3 * -5 + x * -5) = 10x + 10 + -11x 6x + (-15 + -5x) = 10x + 10 + -11x Reorder the terms: -15 + 6x + -5x = 10x + 10 + -11x Combine like terms: 6x + -5x = 1x -15 + 1x = 10x + 10 + -11x Reorder the terms: -15 + 1x = 10 + 10x + -11x Combine like terms: 10x + -11x = -1x -15 + 1x = 10 + -1x Solving -15 + 1x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + 1x + x = 10 + -1x + x Combine like terms: 1x + x = 2x -15 + 2x = 10 + -1x + x Combine like terms: -1x + x = 0 -15 + 2x = 10 + 0 -15 + 2x = 10 Add '15' to each side of the equation. -15 + 15 + 2x = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 10 + 15 2x = 10 + 15 Combine like terms: 10 + 15 = 25 2x = 25 Divide each side by '2'. x = 12.5 Simplifying x = 12.5
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