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Simplifying 5(4x + -1) + -3(3x + -13) = 10x + 20 Reorder the terms: 5(-1 + 4x) + -3(3x + -13) = 10x + 20 (-1 * 5 + 4x * 5) + -3(3x + -13) = 10x + 20 (-5 + 20x) + -3(3x + -13) = 10x + 20 Reorder the terms: -5 + 20x + -3(-13 + 3x) = 10x + 20 -5 + 20x + (-13 * -3 + 3x * -3) = 10x + 20 -5 + 20x + (39 + -9x) = 10x + 20 Reorder the terms: -5 + 39 + 20x + -9x = 10x + 20 Combine like terms: -5 + 39 = 34 34 + 20x + -9x = 10x + 20 Combine like terms: 20x + -9x = 11x 34 + 11x = 10x + 20 Reorder the terms: 34 + 11x = 20 + 10x Solving 34 + 11x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 34 + 11x + -10x = 20 + 10x + -10x Combine like terms: 11x + -10x = 1x 34 + 1x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 34 + 1x = 20 + 0 34 + 1x = 20 Add '-34' to each side of the equation. 34 + -34 + 1x = 20 + -34 Combine like terms: 34 + -34 = 0 0 + 1x = 20 + -34 1x = 20 + -34 Combine like terms: 20 + -34 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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