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Simplifying 7x + -2[3(2x + -5) + (4x + -3)] = 6x + -9 Reorder the terms: 7x + -2[3(-5 + 2x) + (4x + -3)] = 6x + -9 7x + -2[(-5 * 3 + 2x * 3) + (4x + -3)] = 6x + -9 7x + -2[(-15 + 6x) + (4x + -3)] = 6x + -9 Reorder the terms: 7x + -2[-15 + 6x + (-3 + 4x)] = 6x + -9 Remove parenthesis around (-3 + 4x) 7x + -2[-15 + 6x + -3 + 4x] = 6x + -9 Reorder the terms: 7x + -2[-15 + -3 + 6x + 4x] = 6x + -9 Combine like terms: -15 + -3 = -18 7x + -2[-18 + 6x + 4x] = 6x + -9 Combine like terms: 6x + 4x = 10x 7x + -2[-18 + 10x] = 6x + -9 7x + [-18 * -2 + 10x * -2] = 6x + -9 7x + [36 + -20x] = 6x + -9 Reorder the terms: 36 + 7x + -20x = 6x + -9 Combine like terms: 7x + -20x = -13x 36 + -13x = 6x + -9 Reorder the terms: 36 + -13x = -9 + 6x Solving 36 + -13x = -9 + 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. 36 + -13x + -6x = -9 + 6x + -6x Combine like terms: -13x + -6x = -19x 36 + -19x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + -19x = -9 + 0 36 + -19x = -9 Add '-36' to each side of the equation. 36 + -36 + -19x = -9 + -36 Combine like terms: 36 + -36 = 0 0 + -19x = -9 + -36 -19x = -9 + -36 Combine like terms: -9 + -36 = -45 -19x = -45 Divide each side by '-19'. x = 2.368421053 Simplifying x = 2.368421053
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