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Simplifying 5 + [-2x + (-1x + 6)] = 18 + -1[-1(7x + 6) + -1(3x + -24)] Reorder the terms: 5 + [-2x + (6 + -1x)] = 18 + -1[-1(7x + 6) + -1(3x + -24)] Remove parenthesis around (6 + -1x) 5 + [-2x + 6 + -1x] = 18 + -1[-1(7x + 6) + -1(3x + -24)] Reorder the terms: 5 + [6 + -2x + -1x] = 18 + -1[-1(7x + 6) + -1(3x + -24)] Combine like terms: -2x + -1x = -3x 5 + [6 + -3x] = 18 + -1[-1(7x + 6) + -1(3x + -24)] Remove brackets around [6 + -3x] 5 + 6 + -3x = 18 + -1[-1(7x + 6) + -1(3x + -24)] Combine like terms: 5 + 6 = 11 11 + -3x = 18 + -1[-1(7x + 6) + -1(3x + -24)] Reorder the terms: 11 + -3x = 18 + -1[-1(6 + 7x) + -1(3x + -24)] 11 + -3x = 18 + -1[(6 * -1 + 7x * -1) + -1(3x + -24)] 11 + -3x = 18 + -1[(-6 + -7x) + -1(3x + -24)] Reorder the terms: 11 + -3x = 18 + -1[-6 + -7x + -1(-24 + 3x)] 11 + -3x = 18 + -1[-6 + -7x + (-24 * -1 + 3x * -1)] 11 + -3x = 18 + -1[-6 + -7x + (24 + -3x)] Reorder the terms: 11 + -3x = 18 + -1[-6 + 24 + -7x + -3x] Combine like terms: -6 + 24 = 18 11 + -3x = 18 + -1[18 + -7x + -3x] Combine like terms: -7x + -3x = -10x 11 + -3x = 18 + -1[18 + -10x] 11 + -3x = 18 + [18 * -1 + -10x * -1] 11 + -3x = 18 + [-18 + 10x] Combine like terms: 18 + -18 = 0 11 + -3x = 0 + 10x 11 + -3x = 10x Solving 11 + -3x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 11 + -3x + -10x = 10x + -10x Combine like terms: -3x + -10x = -13x 11 + -13x = 10x + -10x Combine like terms: 10x + -10x = 0 11 + -13x = 0 Add '-11' to each side of the equation. 11 + -11 + -13x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -13x = 0 + -11 -13x = 0 + -11 Combine like terms: 0 + -11 = -11 -13x = -11 Divide each side by '-13'. x = 0.8461538462 Simplifying x = 0.8461538462
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