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Simplifying 7(9 + -3x) + -2(x + -3) = 13 (9 * 7 + -3x * 7) + -2(x + -3) = 13 (63 + -21x) + -2(x + -3) = 13 Reorder the terms: 63 + -21x + -2(-3 + x) = 13 63 + -21x + (-3 * -2 + x * -2) = 13 63 + -21x + (6 + -2x) = 13 Reorder the terms: 63 + 6 + -21x + -2x = 13 Combine like terms: 63 + 6 = 69 69 + -21x + -2x = 13 Combine like terms: -21x + -2x = -23x 69 + -23x = 13 Solving 69 + -23x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + -23x = 13 + -69 Combine like terms: 69 + -69 = 0 0 + -23x = 13 + -69 -23x = 13 + -69 Combine like terms: 13 + -69 = -56 -23x = -56 Divide each side by '-23'. x = 2.434782609 Simplifying x = 2.434782609
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