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Simplifying 7(3x + -4) + -1(5x + 10) = 26 Reorder the terms: 7(-4 + 3x) + -1(5x + 10) = 26 (-4 * 7 + 3x * 7) + -1(5x + 10) = 26 (-28 + 21x) + -1(5x + 10) = 26 Reorder the terms: -28 + 21x + -1(10 + 5x) = 26 -28 + 21x + (10 * -1 + 5x * -1) = 26 -28 + 21x + (-10 + -5x) = 26 Reorder the terms: -28 + -10 + 21x + -5x = 26 Combine like terms: -28 + -10 = -38 -38 + 21x + -5x = 26 Combine like terms: 21x + -5x = 16x -38 + 16x = 26 Solving -38 + 16x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 16x = 26 + 38 Combine like terms: -38 + 38 = 0 0 + 16x = 26 + 38 16x = 26 + 38 Combine like terms: 26 + 38 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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