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Simplifying x + -69 = 5(2x + 3) + -12 Reorder the terms: -69 + x = 5(2x + 3) + -12 Reorder the terms: -69 + x = 5(3 + 2x) + -12 -69 + x = (3 * 5 + 2x * 5) + -12 -69 + x = (15 + 10x) + -12 Reorder the terms: -69 + x = 15 + -12 + 10x Combine like terms: 15 + -12 = 3 -69 + x = 3 + 10x Solving -69 + x = 3 + 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. -69 + x + -10x = 3 + 10x + -10x Combine like terms: x + -10x = -9x -69 + -9x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 -69 + -9x = 3 + 0 -69 + -9x = 3 Add '69' to each side of the equation. -69 + 69 + -9x = 3 + 69 Combine like terms: -69 + 69 = 0 0 + -9x = 3 + 69 -9x = 3 + 69 Combine like terms: 3 + 69 = 72 -9x = 72 Divide each side by '-9'. x = -8 Simplifying x = -8
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