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Simplifying 7(3x + 5) = 2(4x + -3) Reorder the terms: 7(5 + 3x) = 2(4x + -3) (5 * 7 + 3x * 7) = 2(4x + -3) (35 + 21x) = 2(4x + -3) Reorder the terms: 35 + 21x = 2(-3 + 4x) 35 + 21x = (-3 * 2 + 4x * 2) 35 + 21x = (-6 + 8x) Solving 35 + 21x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + 21x + -8x = -6 + 8x + -8x Combine like terms: 21x + -8x = 13x 35 + 13x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + 13x = -6 + 0 35 + 13x = -6 Add '-35' to each side of the equation. 35 + -35 + 13x = -6 + -35 Combine like terms: 35 + -35 = 0 0 + 13x = -6 + -35 13x = -6 + -35 Combine like terms: -6 + -35 = -41 13x = -41 Divide each side by '13'. x = -3.153846154 Simplifying x = -3.153846154
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