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Simplifying 5(x + 7) = 2(3x + 2) Reorder the terms: 5(7 + x) = 2(3x + 2) (7 * 5 + x * 5) = 2(3x + 2) (35 + 5x) = 2(3x + 2) Reorder the terms: 35 + 5x = 2(2 + 3x) 35 + 5x = (2 * 2 + 3x * 2) 35 + 5x = (4 + 6x) Solving 35 + 5x = 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. 35 + 5x + -6x = 4 + 6x + -6x Combine like terms: 5x + -6x = -1x 35 + -1x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + -1x = 4 + 0 35 + -1x = 4 Add '-35' to each side of the equation. 35 + -35 + -1x = 4 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 4 + -35 -1x = 4 + -35 Combine like terms: 4 + -35 = -31 -1x = -31 Divide each side by '-1'. x = 31 Simplifying x = 31
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