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Simplifying -2 = -4(-7x + 1) + 5(8 + 2x) Reorder the terms: -2 = -4(1 + -7x) + 5(8 + 2x) -2 = (1 * -4 + -7x * -4) + 5(8 + 2x) -2 = (-4 + 28x) + 5(8 + 2x) -2 = -4 + 28x + (8 * 5 + 2x * 5) -2 = -4 + 28x + (40 + 10x) Reorder the terms: -2 = -4 + 40 + 28x + 10x Combine like terms: -4 + 40 = 36 -2 = 36 + 28x + 10x Combine like terms: 28x + 10x = 38x -2 = 36 + 38x Solving -2 = 36 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. -2 + -38x = 36 + 38x + -38x Combine like terms: 38x + -38x = 0 -2 + -38x = 36 + 0 -2 + -38x = 36 Add '2' to each side of the equation. -2 + 2 + -38x = 36 + 2 Combine like terms: -2 + 2 = 0 0 + -38x = 36 + 2 -38x = 36 + 2 Combine like terms: 36 + 2 = 38 -38x = 38 Divide each side by '-38'. x = -1 Simplifying x = -1
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