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Simplifying 23(3x + 9) = -2(2x + 6) Reorder the terms: 23(9 + 3x) = -2(2x + 6) (9 * 23 + 3x * 23) = -2(2x + 6) (207 + 69x) = -2(2x + 6) Reorder the terms: 207 + 69x = -2(6 + 2x) 207 + 69x = (6 * -2 + 2x * -2) 207 + 69x = (-12 + -4x) Solving 207 + 69x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 207 + 69x + 4x = -12 + -4x + 4x Combine like terms: 69x + 4x = 73x 207 + 73x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 207 + 73x = -12 + 0 207 + 73x = -12 Add '-207' to each side of the equation. 207 + -207 + 73x = -12 + -207 Combine like terms: 207 + -207 = 0 0 + 73x = -12 + -207 73x = -12 + -207 Combine like terms: -12 + -207 = -219 73x = -219 Divide each side by '73'. x = -3 Simplifying x = -3
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