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Simplifying 9 + -2(x + 7) = 6(x + -3) Reorder the terms: 9 + -2(7 + x) = 6(x + -3) 9 + (7 * -2 + x * -2) = 6(x + -3) 9 + (-14 + -2x) = 6(x + -3) Combine like terms: 9 + -14 = -5 -5 + -2x = 6(x + -3) Reorder the terms: -5 + -2x = 6(-3 + x) -5 + -2x = (-3 * 6 + x * 6) -5 + -2x = (-18 + 6x) Solving -5 + -2x = -18 + 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. -5 + -2x + -6x = -18 + 6x + -6x Combine like terms: -2x + -6x = -8x -5 + -8x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -8x = -18 + 0 -5 + -8x = -18 Add '5' to each side of the equation. -5 + 5 + -8x = -18 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = -18 + 5 -8x = -18 + 5 Combine like terms: -18 + 5 = -13 -8x = -13 Divide each side by '-8'. x = 1.625 Simplifying x = 1.625
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