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