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Simplifying 10x + 9(x + -6) = 10x + 18 Reorder the terms: 10x + 9(-6 + x) = 10x + 18 10x + (-6 * 9 + x * 9) = 10x + 18 10x + (-54 + 9x) = 10x + 18 Reorder the terms: -54 + 10x + 9x = 10x + 18 Combine like terms: 10x + 9x = 19x -54 + 19x = 10x + 18 Reorder the terms: -54 + 19x = 18 + 10x Solving -54 + 19x = 18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -54 + 19x + -10x = 18 + 10x + -10x Combine like terms: 19x + -10x = 9x -54 + 9x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 -54 + 9x = 18 + 0 -54 + 9x = 18 Add '54' to each side of the equation. -54 + 54 + 9x = 18 + 54 Combine like terms: -54 + 54 = 0 0 + 9x = 18 + 54 9x = 18 + 54 Combine like terms: 18 + 54 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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