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Simplifying 7(5 + 3x) = 35 + 835 + 8x (5 * 7 + 3x * 7) = 35 + 835 + 8x (35 + 21x) = 35 + 835 + 8x Combine like terms: 35 + 835 = 870 35 + 21x = 870 + 8x Solving 35 + 21x = 870 + 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 = 870 + 8x + -8x Combine like terms: 21x + -8x = 13x 35 + 13x = 870 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + 13x = 870 + 0 35 + 13x = 870 Add '-35' to each side of the equation. 35 + -35 + 13x = 870 + -35 Combine like terms: 35 + -35 = 0 0 + 13x = 870 + -35 13x = 870 + -35 Combine like terms: 870 + -35 = 835 13x = 835 Divide each side by '13'. x = 64.23076923 Simplifying x = 64.23076923
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