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Simplifying 5(10x + -4) + -3x + -7 = 13x + -20 Reorder the terms: 5(-4 + 10x) + -3x + -7 = 13x + -20 (-4 * 5 + 10x * 5) + -3x + -7 = 13x + -20 (-20 + 50x) + -3x + -7 = 13x + -20 Reorder the terms: -20 + -7 + 50x + -3x = 13x + -20 Combine like terms: -20 + -7 = -27 -27 + 50x + -3x = 13x + -20 Combine like terms: 50x + -3x = 47x -27 + 47x = 13x + -20 Reorder the terms: -27 + 47x = -20 + 13x Solving -27 + 47x = -20 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -27 + 47x + -13x = -20 + 13x + -13x Combine like terms: 47x + -13x = 34x -27 + 34x = -20 + 13x + -13x Combine like terms: 13x + -13x = 0 -27 + 34x = -20 + 0 -27 + 34x = -20 Add '27' to each side of the equation. -27 + 27 + 34x = -20 + 27 Combine like terms: -27 + 27 = 0 0 + 34x = -20 + 27 34x = -20 + 27 Combine like terms: -20 + 27 = 7 34x = 7 Divide each side by '34'. x = 0.2058823529 Simplifying x = 0.2058823529
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