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Simplifying 4(6x + -7) + -1(3x + -5) = 50 Reorder the terms: 4(-7 + 6x) + -1(3x + -5) = 50 (-7 * 4 + 6x * 4) + -1(3x + -5) = 50 (-28 + 24x) + -1(3x + -5) = 50 Reorder the terms: -28 + 24x + -1(-5 + 3x) = 50 -28 + 24x + (-5 * -1 + 3x * -1) = 50 -28 + 24x + (5 + -3x) = 50 Reorder the terms: -28 + 5 + 24x + -3x = 50 Combine like terms: -28 + 5 = -23 -23 + 24x + -3x = 50 Combine like terms: 24x + -3x = 21x -23 + 21x = 50 Solving -23 + 21x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 21x = 50 + 23 Combine like terms: -23 + 23 = 0 0 + 21x = 50 + 23 21x = 50 + 23 Combine like terms: 50 + 23 = 73 21x = 73 Divide each side by '21'. x = 3.476190476 Simplifying x = 3.476190476
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