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Simplifying 2(x + -3) + -4(x + 5) = 2x + -16 Reorder the terms: 2(-3 + x) + -4(x + 5) = 2x + -16 (-3 * 2 + x * 2) + -4(x + 5) = 2x + -16 (-6 + 2x) + -4(x + 5) = 2x + -16 Reorder the terms: -6 + 2x + -4(5 + x) = 2x + -16 -6 + 2x + (5 * -4 + x * -4) = 2x + -16 -6 + 2x + (-20 + -4x) = 2x + -16 Reorder the terms: -6 + -20 + 2x + -4x = 2x + -16 Combine like terms: -6 + -20 = -26 -26 + 2x + -4x = 2x + -16 Combine like terms: 2x + -4x = -2x -26 + -2x = 2x + -16 Reorder the terms: -26 + -2x = -16 + 2x Solving -26 + -2x = -16 + 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. -26 + -2x + -2x = -16 + 2x + -2x Combine like terms: -2x + -2x = -4x -26 + -4x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -26 + -4x = -16 + 0 -26 + -4x = -16 Add '26' to each side of the equation. -26 + 26 + -4x = -16 + 26 Combine like terms: -26 + 26 = 0 0 + -4x = -16 + 26 -4x = -16 + 26 Combine like terms: -16 + 26 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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