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Simplifying 10x + -7 = 3(3x + 3) + -2 Reorder the terms: -7 + 10x = 3(3x + 3) + -2 Reorder the terms: -7 + 10x = 3(3 + 3x) + -2 -7 + 10x = (3 * 3 + 3x * 3) + -2 -7 + 10x = (9 + 9x) + -2 Reorder the terms: -7 + 10x = 9 + -2 + 9x Combine like terms: 9 + -2 = 7 -7 + 10x = 7 + 9x Solving -7 + 10x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + 10x + -9x = 7 + 9x + -9x Combine like terms: 10x + -9x = 1x -7 + 1x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + 1x = 7 + 0 -7 + 1x = 7 Add '7' to each side of the equation. -7 + 7 + 1x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 7 + 7 1x = 7 + 7 Combine like terms: 7 + 7 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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