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Simplifying 65(x + -2) = 2(9 + -2x) Reorder the terms: 65(-2 + x) = 2(9 + -2x) (-2 * 65 + x * 65) = 2(9 + -2x) (-130 + 65x) = 2(9 + -2x) -130 + 65x = (9 * 2 + -2x * 2) -130 + 65x = (18 + -4x) Solving -130 + 65x = 18 + -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. -130 + 65x + 4x = 18 + -4x + 4x Combine like terms: 65x + 4x = 69x -130 + 69x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 -130 + 69x = 18 + 0 -130 + 69x = 18 Add '130' to each side of the equation. -130 + 130 + 69x = 18 + 130 Combine like terms: -130 + 130 = 0 0 + 69x = 18 + 130 69x = 18 + 130 Combine like terms: 18 + 130 = 148 69x = 148 Divide each side by '69'. x = 2.144927536 Simplifying x = 2.144927536
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