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