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Simplifying 3(x + 9) = 7(x + -23) Reorder the terms: 3(9 + x) = 7(x + -23) (9 * 3 + x * 3) = 7(x + -23) (27 + 3x) = 7(x + -23) Reorder the terms: 27 + 3x = 7(-23 + x) 27 + 3x = (-23 * 7 + x * 7) 27 + 3x = (-161 + 7x) Solving 27 + 3x = -161 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 27 + 3x + -7x = -161 + 7x + -7x Combine like terms: 3x + -7x = -4x 27 + -4x = -161 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + -4x = -161 + 0 27 + -4x = -161 Add '-27' to each side of the equation. 27 + -27 + -4x = -161 + -27 Combine like terms: 27 + -27 = 0 0 + -4x = -161 + -27 -4x = -161 + -27 Combine like terms: -161 + -27 = -188 -4x = -188 Divide each side by '-4'. x = 47 Simplifying x = 47
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