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Simplifying 10x + -8 = 9(x + 3) + -7 Reorder the terms: -8 + 10x = 9(x + 3) + -7 Reorder the terms: -8 + 10x = 9(3 + x) + -7 -8 + 10x = (3 * 9 + x * 9) + -7 -8 + 10x = (27 + 9x) + -7 Reorder the terms: -8 + 10x = 27 + -7 + 9x Combine like terms: 27 + -7 = 20 -8 + 10x = 20 + 9x Solving -8 + 10x = 20 + 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. -8 + 10x + -9x = 20 + 9x + -9x Combine like terms: 10x + -9x = 1x -8 + 1x = 20 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + 1x = 20 + 0 -8 + 1x = 20 Add '8' to each side of the equation. -8 + 8 + 1x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 20 + 8 1x = 20 + 8 Combine like terms: 20 + 8 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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