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Simplifying 4x + 7(2x + -5) + -5(3x + 1) = 50 Reorder the terms: 4x + 7(-5 + 2x) + -5(3x + 1) = 50 4x + (-5 * 7 + 2x * 7) + -5(3x + 1) = 50 4x + (-35 + 14x) + -5(3x + 1) = 50 Reorder the terms: 4x + -35 + 14x + -5(1 + 3x) = 50 4x + -35 + 14x + (1 * -5 + 3x * -5) = 50 4x + -35 + 14x + (-5 + -15x) = 50 Reorder the terms: -35 + -5 + 4x + 14x + -15x = 50 Combine like terms: -35 + -5 = -40 -40 + 4x + 14x + -15x = 50 Combine like terms: 4x + 14x = 18x -40 + 18x + -15x = 50 Combine like terms: 18x + -15x = 3x -40 + 3x = 50 Solving -40 + 3x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 3x = 50 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = 50 + 40 3x = 50 + 40 Combine like terms: 50 + 40 = 90 3x = 90 Divide each side by '3'. x = 30 Simplifying x = 30
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