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Simplifying 6(5x + -3) + -3(3x + -14) = 5(4x + 5) + -5 Reorder the terms: 6(-3 + 5x) + -3(3x + -14) = 5(4x + 5) + -5 (-3 * 6 + 5x * 6) + -3(3x + -14) = 5(4x + 5) + -5 (-18 + 30x) + -3(3x + -14) = 5(4x + 5) + -5 Reorder the terms: -18 + 30x + -3(-14 + 3x) = 5(4x + 5) + -5 -18 + 30x + (-14 * -3 + 3x * -3) = 5(4x + 5) + -5 -18 + 30x + (42 + -9x) = 5(4x + 5) + -5 Reorder the terms: -18 + 42 + 30x + -9x = 5(4x + 5) + -5 Combine like terms: -18 + 42 = 24 24 + 30x + -9x = 5(4x + 5) + -5 Combine like terms: 30x + -9x = 21x 24 + 21x = 5(4x + 5) + -5 Reorder the terms: 24 + 21x = 5(5 + 4x) + -5 24 + 21x = (5 * 5 + 4x * 5) + -5 24 + 21x = (25 + 20x) + -5 Reorder the terms: 24 + 21x = 25 + -5 + 20x Combine like terms: 25 + -5 = 20 24 + 21x = 20 + 20x Solving 24 + 21x = 20 + 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. 24 + 21x + -20x = 20 + 20x + -20x Combine like terms: 21x + -20x = 1x 24 + 1x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 24 + 1x = 20 + 0 24 + 1x = 20 Add '-24' to each side of the equation. 24 + -24 + 1x = 20 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 20 + -24 1x = 20 + -24 Combine like terms: 20 + -24 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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