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Simplifying 15x + 3(2x + -1) = 10(2x + -3) Reorder the terms: 15x + 3(-1 + 2x) = 10(2x + -3) 15x + (-1 * 3 + 2x * 3) = 10(2x + -3) 15x + (-3 + 6x) = 10(2x + -3) Reorder the terms: -3 + 15x + 6x = 10(2x + -3) Combine like terms: 15x + 6x = 21x -3 + 21x = 10(2x + -3) Reorder the terms: -3 + 21x = 10(-3 + 2x) -3 + 21x = (-3 * 10 + 2x * 10) -3 + 21x = (-30 + 20x) Solving -3 + 21x = -30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -3 + 21x + -20x = -30 + 20x + -20x Combine like terms: 21x + -20x = 1x -3 + 1x = -30 + 20x + -20x Combine like terms: 20x + -20x = 0 -3 + 1x = -30 + 0 -3 + 1x = -30 Add '3' to each side of the equation. -3 + 3 + 1x = -30 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -30 + 3 1x = -30 + 3 Combine like terms: -30 + 3 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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