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Simplifying 7(5 + 2x) = 6(3x + -1) (5 * 7 + 2x * 7) = 6(3x + -1) (35 + 14x) = 6(3x + -1) Reorder the terms: 35 + 14x = 6(-1 + 3x) 35 + 14x = (-1 * 6 + 3x * 6) 35 + 14x = (-6 + 18x) Solving 35 + 14x = -6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 35 + 14x + -18x = -6 + 18x + -18x Combine like terms: 14x + -18x = -4x 35 + -4x = -6 + 18x + -18x Combine like terms: 18x + -18x = 0 35 + -4x = -6 + 0 35 + -4x = -6 Add '-35' to each side of the equation. 35 + -35 + -4x = -6 + -35 Combine like terms: 35 + -35 = 0 0 + -4x = -6 + -35 -4x = -6 + -35 Combine like terms: -6 + -35 = -41 -4x = -41 Divide each side by '-4'. x = 10.25 Simplifying x = 10.25
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