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Simplifying 6(5x + -3) + -3(3x + -11) = 4(5x + 3) + -9 Reorder the terms: 6(-3 + 5x) + -3(3x + -11) = 4(5x + 3) + -9 (-3 * 6 + 5x * 6) + -3(3x + -11) = 4(5x + 3) + -9 (-18 + 30x) + -3(3x + -11) = 4(5x + 3) + -9 Reorder the terms: -18 + 30x + -3(-11 + 3x) = 4(5x + 3) + -9 -18 + 30x + (-11 * -3 + 3x * -3) = 4(5x + 3) + -9 -18 + 30x + (33 + -9x) = 4(5x + 3) + -9 Reorder the terms: -18 + 33 + 30x + -9x = 4(5x + 3) + -9 Combine like terms: -18 + 33 = 15 15 + 30x + -9x = 4(5x + 3) + -9 Combine like terms: 30x + -9x = 21x 15 + 21x = 4(5x + 3) + -9 Reorder the terms: 15 + 21x = 4(3 + 5x) + -9 15 + 21x = (3 * 4 + 5x * 4) + -9 15 + 21x = (12 + 20x) + -9 Reorder the terms: 15 + 21x = 12 + -9 + 20x Combine like terms: 12 + -9 = 3 15 + 21x = 3 + 20x Solving 15 + 21x = 3 + 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. 15 + 21x + -20x = 3 + 20x + -20x Combine like terms: 21x + -20x = 1x 15 + 1x = 3 + 20x + -20x Combine like terms: 20x + -20x = 0 15 + 1x = 3 + 0 15 + 1x = 3 Add '-15' to each side of the equation. 15 + -15 + 1x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 3 + -15 1x = 3 + -15 Combine like terms: 3 + -15 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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