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Simplifying 10x + 4 = 9(x + 6) + -9 Reorder the terms: 4 + 10x = 9(x + 6) + -9 Reorder the terms: 4 + 10x = 9(6 + x) + -9 4 + 10x = (6 * 9 + x * 9) + -9 4 + 10x = (54 + 9x) + -9 Reorder the terms: 4 + 10x = 54 + -9 + 9x Combine like terms: 54 + -9 = 45 4 + 10x = 45 + 9x Solving 4 + 10x = 45 + 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. 4 + 10x + -9x = 45 + 9x + -9x Combine like terms: 10x + -9x = 1x 4 + 1x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + 1x = 45 + 0 4 + 1x = 45 Add '-4' to each side of the equation. 4 + -4 + 1x = 45 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 45 + -4 1x = 45 + -4 Combine like terms: 45 + -4 = 41 1x = 41 Divide each side by '1'. x = 41 Simplifying x = 41
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