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Simplifying -1[4x + (9x + 3)] = 4 + -1(6x + 9) Reorder the terms: -1[4x + (3 + 9x)] = 4 + -1(6x + 9) Remove parenthesis around (3 + 9x) -1[4x + 3 + 9x] = 4 + -1(6x + 9) Reorder the terms: -1[3 + 4x + 9x] = 4 + -1(6x + 9) Combine like terms: 4x + 9x = 13x -1[3 + 13x] = 4 + -1(6x + 9) [3 * -1 + 13x * -1] = 4 + -1(6x + 9) [-3 + -13x] = 4 + -1(6x + 9) Reorder the terms: -3 + -13x = 4 + -1(9 + 6x) -3 + -13x = 4 + (9 * -1 + 6x * -1) -3 + -13x = 4 + (-9 + -6x) Combine like terms: 4 + -9 = -5 -3 + -13x = -5 + -6x Solving -3 + -13x = -5 + -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. -3 + -13x + 6x = -5 + -6x + 6x Combine like terms: -13x + 6x = -7x -3 + -7x = -5 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + -7x = -5 + 0 -3 + -7x = -5 Add '3' to each side of the equation. -3 + 3 + -7x = -5 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = -5 + 3 -7x = -5 + 3 Combine like terms: -5 + 3 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857
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