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Simplifying 9(-2x + 5) = -5 + -2(3 + -1x) + 4(6 + -1x) Reorder the terms: 9(5 + -2x) = -5 + -2(3 + -1x) + 4(6 + -1x) (5 * 9 + -2x * 9) = -5 + -2(3 + -1x) + 4(6 + -1x) (45 + -18x) = -5 + -2(3 + -1x) + 4(6 + -1x) 45 + -18x = -5 + (3 * -2 + -1x * -2) + 4(6 + -1x) 45 + -18x = -5 + (-6 + 2x) + 4(6 + -1x) 45 + -18x = -5 + -6 + 2x + (6 * 4 + -1x * 4) 45 + -18x = -5 + -6 + 2x + (24 + -4x) Reorder the terms: 45 + -18x = -5 + -6 + 24 + 2x + -4x Combine like terms: -5 + -6 = -11 45 + -18x = -11 + 24 + 2x + -4x Combine like terms: -11 + 24 = 13 45 + -18x = 13 + 2x + -4x Combine like terms: 2x + -4x = -2x 45 + -18x = 13 + -2x Solving 45 + -18x = 13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 45 + -18x + 2x = 13 + -2x + 2x Combine like terms: -18x + 2x = -16x 45 + -16x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 45 + -16x = 13 + 0 45 + -16x = 13 Add '-45' to each side of the equation. 45 + -45 + -16x = 13 + -45 Combine like terms: 45 + -45 = 0 0 + -16x = 13 + -45 -16x = 13 + -45 Combine like terms: 13 + -45 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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