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Simplifying 10(2x + -3) + 5x = 6(x + 1) + 3x Reorder the terms: 10(-3 + 2x) + 5x = 6(x + 1) + 3x (-3 * 10 + 2x * 10) + 5x = 6(x + 1) + 3x (-30 + 20x) + 5x = 6(x + 1) + 3x Combine like terms: 20x + 5x = 25x -30 + 25x = 6(x + 1) + 3x Reorder the terms: -30 + 25x = 6(1 + x) + 3x -30 + 25x = (1 * 6 + x * 6) + 3x -30 + 25x = (6 + 6x) + 3x Combine like terms: 6x + 3x = 9x -30 + 25x = 6 + 9x Solving -30 + 25x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -30 + 25x + -9x = 6 + 9x + -9x Combine like terms: 25x + -9x = 16x -30 + 16x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -30 + 16x = 6 + 0 -30 + 16x = 6 Add '30' to each side of the equation. -30 + 30 + 16x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 16x = 6 + 30 16x = 6 + 30 Combine like terms: 6 + 30 = 36 16x = 36 Divide each side by '16'. x = 2.25 Simplifying x = 2.25
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