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Simplifying -2(4x + 1) + 5(x + 2) = -7 Reorder the terms: -2(1 + 4x) + 5(x + 2) = -7 (1 * -2 + 4x * -2) + 5(x + 2) = -7 (-2 + -8x) + 5(x + 2) = -7 Reorder the terms: -2 + -8x + 5(2 + x) = -7 -2 + -8x + (2 * 5 + x * 5) = -7 -2 + -8x + (10 + 5x) = -7 Reorder the terms: -2 + 10 + -8x + 5x = -7 Combine like terms: -2 + 10 = 8 8 + -8x + 5x = -7 Combine like terms: -8x + 5x = -3x 8 + -3x = -7 Solving 8 + -3x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -7 + -8 -3x = -7 + -8 Combine like terms: -7 + -8 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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