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Simplifying -2(x + 3) + -4(x + -5) = -2x + 1 Reorder the terms: -2(3 + x) + -4(x + -5) = -2x + 1 (3 * -2 + x * -2) + -4(x + -5) = -2x + 1 (-6 + -2x) + -4(x + -5) = -2x + 1 Reorder the terms: -6 + -2x + -4(-5 + x) = -2x + 1 -6 + -2x + (-5 * -4 + x * -4) = -2x + 1 -6 + -2x + (20 + -4x) = -2x + 1 Reorder the terms: -6 + 20 + -2x + -4x = -2x + 1 Combine like terms: -6 + 20 = 14 14 + -2x + -4x = -2x + 1 Combine like terms: -2x + -4x = -6x 14 + -6x = -2x + 1 Reorder the terms: 14 + -6x = 1 + -2x Solving 14 + -6x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 14 + -6x + 2x = 1 + -2x + 2x Combine like terms: -6x + 2x = -4x 14 + -4x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + -4x = 1 + 0 14 + -4x = 1 Add '-14' to each side of the equation. 14 + -14 + -4x = 1 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = 1 + -14 -4x = 1 + -14 Combine like terms: 1 + -14 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25
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