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Simplifying 3(2x + -5) + 6 = 5(3 + -5x) + 6x Reorder the terms: 3(-5 + 2x) + 6 = 5(3 + -5x) + 6x (-5 * 3 + 2x * 3) + 6 = 5(3 + -5x) + 6x (-15 + 6x) + 6 = 5(3 + -5x) + 6x Reorder the terms: -15 + 6 + 6x = 5(3 + -5x) + 6x Combine like terms: -15 + 6 = -9 -9 + 6x = 5(3 + -5x) + 6x -9 + 6x = (3 * 5 + -5x * 5) + 6x -9 + 6x = (15 + -25x) + 6x Combine like terms: -25x + 6x = -19x -9 + 6x = 15 + -19x Solving -9 + 6x = 15 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. -9 + 6x + 19x = 15 + -19x + 19x Combine like terms: 6x + 19x = 25x -9 + 25x = 15 + -19x + 19x Combine like terms: -19x + 19x = 0 -9 + 25x = 15 + 0 -9 + 25x = 15 Add '9' to each side of the equation. -9 + 9 + 25x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 25x = 15 + 9 25x = 15 + 9 Combine like terms: 15 + 9 = 24 25x = 24 Divide each side by '25'. x = 0.96 Simplifying x = 0.96
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