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Simplifying 8x + -3(7x + 4) = 2(3x + 2) Reorder the terms: 8x + -3(4 + 7x) = 2(3x + 2) 8x + (4 * -3 + 7x * -3) = 2(3x + 2) 8x + (-12 + -21x) = 2(3x + 2) Reorder the terms: -12 + 8x + -21x = 2(3x + 2) Combine like terms: 8x + -21x = -13x -12 + -13x = 2(3x + 2) Reorder the terms: -12 + -13x = 2(2 + 3x) -12 + -13x = (2 * 2 + 3x * 2) -12 + -13x = (4 + 6x) Solving -12 + -13x = 4 + 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. -12 + -13x + -6x = 4 + 6x + -6x Combine like terms: -13x + -6x = -19x -12 + -19x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -19x = 4 + 0 -12 + -19x = 4 Add '12' to each side of the equation. -12 + 12 + -19x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -19x = 4 + 12 -19x = 4 + 12 Combine like terms: 4 + 12 = 16 -19x = 16 Divide each side by '-19'. x = -0.8421052632 Simplifying x = -0.8421052632
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