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Simplifying 3(2x + -5) + 5x = 2(4x + 7) Reorder the terms: 3(-5 + 2x) + 5x = 2(4x + 7) (-5 * 3 + 2x * 3) + 5x = 2(4x + 7) (-15 + 6x) + 5x = 2(4x + 7) Combine like terms: 6x + 5x = 11x -15 + 11x = 2(4x + 7) Reorder the terms: -15 + 11x = 2(7 + 4x) -15 + 11x = (7 * 2 + 4x * 2) -15 + 11x = (14 + 8x) Solving -15 + 11x = 14 + 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. -15 + 11x + -8x = 14 + 8x + -8x Combine like terms: 11x + -8x = 3x -15 + 3x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 3x = 14 + 0 -15 + 3x = 14 Add '15' to each side of the equation. -15 + 15 + 3x = 14 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 14 + 15 3x = 14 + 15 Combine like terms: 14 + 15 = 29 3x = 29 Divide each side by '3'. x = 9.666666667 Simplifying x = 9.666666667
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