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Simplifying 3 + 8(x + -9) = 7 + -6(x + -2) Reorder the terms: 3 + 8(-9 + x) = 7 + -6(x + -2) 3 + (-9 * 8 + x * 8) = 7 + -6(x + -2) 3 + (-72 + 8x) = 7 + -6(x + -2) Combine like terms: 3 + -72 = -69 -69 + 8x = 7 + -6(x + -2) Reorder the terms: -69 + 8x = 7 + -6(-2 + x) -69 + 8x = 7 + (-2 * -6 + x * -6) -69 + 8x = 7 + (12 + -6x) Combine like terms: 7 + 12 = 19 -69 + 8x = 19 + -6x Solving -69 + 8x = 19 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -69 + 8x + 6x = 19 + -6x + 6x Combine like terms: 8x + 6x = 14x -69 + 14x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 -69 + 14x = 19 + 0 -69 + 14x = 19 Add '69' to each side of the equation. -69 + 69 + 14x = 19 + 69 Combine like terms: -69 + 69 = 0 0 + 14x = 19 + 69 14x = 19 + 69 Combine like terms: 19 + 69 = 88 14x = 88 Divide each side by '14'. x = 6.285714286 Simplifying x = 6.285714286
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