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Simplifying 10x + -3(x + 6) = 2x + 7 Reorder the terms: 10x + -3(6 + x) = 2x + 7 10x + (6 * -3 + x * -3) = 2x + 7 10x + (-18 + -3x) = 2x + 7 Reorder the terms: -18 + 10x + -3x = 2x + 7 Combine like terms: 10x + -3x = 7x -18 + 7x = 2x + 7 Reorder the terms: -18 + 7x = 7 + 2x Solving -18 + 7x = 7 + 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. -18 + 7x + -2x = 7 + 2x + -2x Combine like terms: 7x + -2x = 5x -18 + 5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 5x = 7 + 0 -18 + 5x = 7 Add '18' to each side of the equation. -18 + 18 + 5x = 7 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 7 + 18 5x = 7 + 18 Combine like terms: 7 + 18 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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