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Simplifying 5(4x + -3) + 5(13 + -2x) = 3(3x + 3) + -8 Reorder the terms: 5(-3 + 4x) + 5(13 + -2x) = 3(3x + 3) + -8 (-3 * 5 + 4x * 5) + 5(13 + -2x) = 3(3x + 3) + -8 (-15 + 20x) + 5(13 + -2x) = 3(3x + 3) + -8 -15 + 20x + (13 * 5 + -2x * 5) = 3(3x + 3) + -8 -15 + 20x + (65 + -10x) = 3(3x + 3) + -8 Reorder the terms: -15 + 65 + 20x + -10x = 3(3x + 3) + -8 Combine like terms: -15 + 65 = 50 50 + 20x + -10x = 3(3x + 3) + -8 Combine like terms: 20x + -10x = 10x 50 + 10x = 3(3x + 3) + -8 Reorder the terms: 50 + 10x = 3(3 + 3x) + -8 50 + 10x = (3 * 3 + 3x * 3) + -8 50 + 10x = (9 + 9x) + -8 Reorder the terms: 50 + 10x = 9 + -8 + 9x Combine like terms: 9 + -8 = 1 50 + 10x = 1 + 9x Solving 50 + 10x = 1 + 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. 50 + 10x + -9x = 1 + 9x + -9x Combine like terms: 10x + -9x = 1x 50 + 1x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 50 + 1x = 1 + 0 50 + 1x = 1 Add '-50' to each side of the equation. 50 + -50 + 1x = 1 + -50 Combine like terms: 50 + -50 = 0 0 + 1x = 1 + -50 1x = 1 + -50 Combine like terms: 1 + -50 = -49 1x = -49 Divide each side by '1'. x = -49 Simplifying x = -49
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