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Simplifying 10x + -5 = 9(x + 6) + 3 Reorder the terms: -5 + 10x = 9(x + 6) + 3 Reorder the terms: -5 + 10x = 9(6 + x) + 3 -5 + 10x = (6 * 9 + x * 9) + 3 -5 + 10x = (54 + 9x) + 3 Reorder the terms: -5 + 10x = 54 + 3 + 9x Combine like terms: 54 + 3 = 57 -5 + 10x = 57 + 9x Solving -5 + 10x = 57 + 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 = 57 + 9x + -9x Combine like terms: 10x + -9x = 1x -5 + 1x = 57 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + 1x = 57 + 0 -5 + 1x = 57 Add '5' to each side of the equation. -5 + 5 + 1x = 57 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 57 + 5 1x = 57 + 5 Combine like terms: 57 + 5 = 62 1x = 62 Divide each side by '1'. x = 62 Simplifying x = 62
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