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Simplifying 10x + -5 = 9(x + 7) + 10 Reorder the terms: -5 + 10x = 9(x + 7) + 10 Reorder the terms: -5 + 10x = 9(7 + x) + 10 -5 + 10x = (7 * 9 + x * 9) + 10 -5 + 10x = (63 + 9x) + 10 Reorder the terms: -5 + 10x = 63 + 10 + 9x Combine like terms: 63 + 10 = 73 -5 + 10x = 73 + 9x Solving -5 + 10x = 73 + 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. -5 + 10x + -9x = 73 + 9x + -9x Combine like terms: 10x + -9x = 1x -5 + 1x = 73 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + 1x = 73 + 0 -5 + 1x = 73 Add '5' to each side of the equation. -5 + 5 + 1x = 73 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 73 + 5 1x = 73 + 5 Combine like terms: 73 + 5 = 78 1x = 78 Divide each side by '1'. x = 78 Simplifying x = 78
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