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Simplifying 5(3x + -9) + -4 = 5(x + 3) + 26 Reorder the terms: 5(-9 + 3x) + -4 = 5(x + 3) + 26 (-9 * 5 + 3x * 5) + -4 = 5(x + 3) + 26 (-45 + 15x) + -4 = 5(x + 3) + 26 Reorder the terms: -45 + -4 + 15x = 5(x + 3) + 26 Combine like terms: -45 + -4 = -49 -49 + 15x = 5(x + 3) + 26 Reorder the terms: -49 + 15x = 5(3 + x) + 26 -49 + 15x = (3 * 5 + x * 5) + 26 -49 + 15x = (15 + 5x) + 26 Reorder the terms: -49 + 15x = 15 + 26 + 5x Combine like terms: 15 + 26 = 41 -49 + 15x = 41 + 5x Solving -49 + 15x = 41 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -49 + 15x + -5x = 41 + 5x + -5x Combine like terms: 15x + -5x = 10x -49 + 10x = 41 + 5x + -5x Combine like terms: 5x + -5x = 0 -49 + 10x = 41 + 0 -49 + 10x = 41 Add '49' to each side of the equation. -49 + 49 + 10x = 41 + 49 Combine like terms: -49 + 49 = 0 0 + 10x = 41 + 49 10x = 41 + 49 Combine like terms: 41 + 49 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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