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Simplifying 12 + 6(9 + -7x) = 20 + -19x 12 + (9 * 6 + -7x * 6) = 20 + -19x 12 + (54 + -42x) = 20 + -19x Combine like terms: 12 + 54 = 66 66 + -42x = 20 + -19x Solving 66 + -42x = 20 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 66 + -42x + 19x = 20 + -19x + 19x Combine like terms: -42x + 19x = -23x 66 + -23x = 20 + -19x + 19x Combine like terms: -19x + 19x = 0 66 + -23x = 20 + 0 66 + -23x = 20 Add '-66' to each side of the equation. 66 + -66 + -23x = 20 + -66 Combine like terms: 66 + -66 = 0 0 + -23x = 20 + -66 -23x = 20 + -66 Combine like terms: 20 + -66 = -46 -23x = -46 Divide each side by '-23'. x = 2 Simplifying x = 2
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