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Simplifying 3(2x + 7) + -5 = 2(5x + 4) + 2x Reorder the terms: 3(7 + 2x) + -5 = 2(5x + 4) + 2x (7 * 3 + 2x * 3) + -5 = 2(5x + 4) + 2x (21 + 6x) + -5 = 2(5x + 4) + 2x Reorder the terms: 21 + -5 + 6x = 2(5x + 4) + 2x Combine like terms: 21 + -5 = 16 16 + 6x = 2(5x + 4) + 2x Reorder the terms: 16 + 6x = 2(4 + 5x) + 2x 16 + 6x = (4 * 2 + 5x * 2) + 2x 16 + 6x = (8 + 10x) + 2x Combine like terms: 10x + 2x = 12x 16 + 6x = 8 + 12x Solving 16 + 6x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 16 + 6x + -12x = 8 + 12x + -12x Combine like terms: 6x + -12x = -6x 16 + -6x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 16 + -6x = 8 + 0 16 + -6x = 8 Add '-16' to each side of the equation. 16 + -16 + -6x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + -6x = 8 + -16 -6x = 8 + -16 Combine like terms: 8 + -16 = -8 -6x = -8 Divide each side by '-6'. x = 1.333333333 Simplifying x = 1.333333333
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