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Simplifying 5(6x + -3) + -4(5x + -5) = 3(3x + 4) + -3 Reorder the terms: 5(-3 + 6x) + -4(5x + -5) = 3(3x + 4) + -3 (-3 * 5 + 6x * 5) + -4(5x + -5) = 3(3x + 4) + -3 (-15 + 30x) + -4(5x + -5) = 3(3x + 4) + -3 Reorder the terms: -15 + 30x + -4(-5 + 5x) = 3(3x + 4) + -3 -15 + 30x + (-5 * -4 + 5x * -4) = 3(3x + 4) + -3 -15 + 30x + (20 + -20x) = 3(3x + 4) + -3 Reorder the terms: -15 + 20 + 30x + -20x = 3(3x + 4) + -3 Combine like terms: -15 + 20 = 5 5 + 30x + -20x = 3(3x + 4) + -3 Combine like terms: 30x + -20x = 10x 5 + 10x = 3(3x + 4) + -3 Reorder the terms: 5 + 10x = 3(4 + 3x) + -3 5 + 10x = (4 * 3 + 3x * 3) + -3 5 + 10x = (12 + 9x) + -3 Reorder the terms: 5 + 10x = 12 + -3 + 9x Combine like terms: 12 + -3 = 9 5 + 10x = 9 + 9x Solving 5 + 10x = 9 + 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. 5 + 10x + -9x = 9 + 9x + -9x Combine like terms: 10x + -9x = 1x 5 + 1x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + 1x = 9 + 0 5 + 1x = 9 Add '-5' to each side of the equation. 5 + -5 + 1x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 9 + -5 1x = 9 + -5 Combine like terms: 9 + -5 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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