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