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Simplifying 3(2x + -3) + 5(3x + 1) = 5x + -1 Reorder the terms: 3(-3 + 2x) + 5(3x + 1) = 5x + -1 (-3 * 3 + 2x * 3) + 5(3x + 1) = 5x + -1 (-9 + 6x) + 5(3x + 1) = 5x + -1 Reorder the terms: -9 + 6x + 5(1 + 3x) = 5x + -1 -9 + 6x + (1 * 5 + 3x * 5) = 5x + -1 -9 + 6x + (5 + 15x) = 5x + -1 Reorder the terms: -9 + 5 + 6x + 15x = 5x + -1 Combine like terms: -9 + 5 = -4 -4 + 6x + 15x = 5x + -1 Combine like terms: 6x + 15x = 21x -4 + 21x = 5x + -1 Reorder the terms: -4 + 21x = -1 + 5x Solving -4 + 21x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 21x + -5x = -1 + 5x + -5x Combine like terms: 21x + -5x = 16x -4 + 16x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 16x = -1 + 0 -4 + 16x = -1 Add '4' to each side of the equation. -4 + 4 + 16x = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 16x = -1 + 4 16x = -1 + 4 Combine like terms: -1 + 4 = 3 16x = 3 Divide each side by '16'. x = 0.1875 Simplifying x = 0.1875
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