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Simplifying 6(5x + -4) + -3(3x + -13) = 20x + 5 Reorder the terms: 6(-4 + 5x) + -3(3x + -13) = 20x + 5 (-4 * 6 + 5x * 6) + -3(3x + -13) = 20x + 5 (-24 + 30x) + -3(3x + -13) = 20x + 5 Reorder the terms: -24 + 30x + -3(-13 + 3x) = 20x + 5 -24 + 30x + (-13 * -3 + 3x * -3) = 20x + 5 -24 + 30x + (39 + -9x) = 20x + 5 Reorder the terms: -24 + 39 + 30x + -9x = 20x + 5 Combine like terms: -24 + 39 = 15 15 + 30x + -9x = 20x + 5 Combine like terms: 30x + -9x = 21x 15 + 21x = 20x + 5 Reorder the terms: 15 + 21x = 5 + 20x Solving 15 + 21x = 5 + 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 = 5 + 20x + -20x Combine like terms: 21x + -20x = 1x 15 + 1x = 5 + 20x + -20x Combine like terms: 20x + -20x = 0 15 + 1x = 5 + 0 15 + 1x = 5 Add '-15' to each side of the equation. 15 + -15 + 1x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 5 + -15 1x = 5 + -15 Combine like terms: 5 + -15 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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