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Simplifying -5(2x + 1) + 3(4x + 2) = -7 Reorder the terms: -5(1 + 2x) + 3(4x + 2) = -7 (1 * -5 + 2x * -5) + 3(4x + 2) = -7 (-5 + -10x) + 3(4x + 2) = -7 Reorder the terms: -5 + -10x + 3(2 + 4x) = -7 -5 + -10x + (2 * 3 + 4x * 3) = -7 -5 + -10x + (6 + 12x) = -7 Reorder the terms: -5 + 6 + -10x + 12x = -7 Combine like terms: -5 + 6 = 1 1 + -10x + 12x = -7 Combine like terms: -10x + 12x = 2x 1 + 2x = -7 Solving 1 + 2x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -7 + -1 2x = -7 + -1 Combine like terms: -7 + -1 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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