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Simplifying 4 + -1(2x + 7) = 3(4x + -5) + -7x Reorder the terms: 4 + -1(7 + 2x) = 3(4x + -5) + -7x 4 + (7 * -1 + 2x * -1) = 3(4x + -5) + -7x 4 + (-7 + -2x) = 3(4x + -5) + -7x Combine like terms: 4 + -7 = -3 -3 + -2x = 3(4x + -5) + -7x Reorder the terms: -3 + -2x = 3(-5 + 4x) + -7x -3 + -2x = (-5 * 3 + 4x * 3) + -7x -3 + -2x = (-15 + 12x) + -7x Combine like terms: 12x + -7x = 5x -3 + -2x = -15 + 5x Solving -3 + -2x = -15 + 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. -3 + -2x + -5x = -15 + 5x + -5x Combine like terms: -2x + -5x = -7x -3 + -7x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -7x = -15 + 0 -3 + -7x = -15 Add '3' to each side of the equation. -3 + 3 + -7x = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = -15 + 3 -7x = -15 + 3 Combine like terms: -15 + 3 = -12 -7x = -12 Divide each side by '-7'. x = 1.714285714 Simplifying x = 1.714285714
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