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Simplifying 3(23 + -1x) = 15 + -1(x + -6) (23 * 3 + -1x * 3) = 15 + -1(x + -6) (69 + -3x) = 15 + -1(x + -6) Reorder the terms: 69 + -3x = 15 + -1(-6 + x) 69 + -3x = 15 + (-6 * -1 + x * -1) 69 + -3x = 15 + (6 + -1x) Combine like terms: 15 + 6 = 21 69 + -3x = 21 + -1x Solving 69 + -3x = 21 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 69 + -3x + x = 21 + -1x + x Combine like terms: -3x + x = -2x 69 + -2x = 21 + -1x + x Combine like terms: -1x + x = 0 69 + -2x = 21 + 0 69 + -2x = 21 Add '-69' to each side of the equation. 69 + -69 + -2x = 21 + -69 Combine like terms: 69 + -69 = 0 0 + -2x = 21 + -69 -2x = 21 + -69 Combine like terms: 21 + -69 = -48 -2x = -48 Divide each side by '-2'. x = 24 Simplifying x = 24
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