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Simplifying x + -66 = 5(2x + 3) + -9 Reorder the terms: -66 + x = 5(2x + 3) + -9 Reorder the terms: -66 + x = 5(3 + 2x) + -9 -66 + x = (3 * 5 + 2x * 5) + -9 -66 + x = (15 + 10x) + -9 Reorder the terms: -66 + x = 15 + -9 + 10x Combine like terms: 15 + -9 = 6 -66 + x = 6 + 10x Solving -66 + x = 6 + 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. -66 + x + -10x = 6 + 10x + -10x Combine like terms: x + -10x = -9x -66 + -9x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 -66 + -9x = 6 + 0 -66 + -9x = 6 Add '66' to each side of the equation. -66 + 66 + -9x = 6 + 66 Combine like terms: -66 + 66 = 0 0 + -9x = 6 + 66 -9x = 6 + 66 Combine like terms: 6 + 66 = 72 -9x = 72 Divide each side by '-9'. x = -8 Simplifying x = -8
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