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Simplifying 6[1 + -1(4x + -5)] = 9(6 + -2x) Reorder the terms: 6[1 + -1(-5 + 4x)] = 9(6 + -2x) 6[1 + (-5 * -1 + 4x * -1)] = 9(6 + -2x) 6[1 + (5 + -4x)] = 9(6 + -2x) Combine like terms: 1 + 5 = 6 6[6 + -4x] = 9(6 + -2x) [6 * 6 + -4x * 6] = 9(6 + -2x) [36 + -24x] = 9(6 + -2x) 36 + -24x = (6 * 9 + -2x * 9) 36 + -24x = (54 + -18x) Solving 36 + -24x = 54 + -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. 36 + -24x + 18x = 54 + -18x + 18x Combine like terms: -24x + 18x = -6x 36 + -6x = 54 + -18x + 18x Combine like terms: -18x + 18x = 0 36 + -6x = 54 + 0 36 + -6x = 54 Add '-36' to each side of the equation. 36 + -36 + -6x = 54 + -36 Combine like terms: 36 + -36 = 0 0 + -6x = 54 + -36 -6x = 54 + -36 Combine like terms: 54 + -36 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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