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Simplifying 2x + -5(x + 4) = -2(x + -3) Reorder the terms: 2x + -5(4 + x) = -2(x + -3) 2x + (4 * -5 + x * -5) = -2(x + -3) 2x + (-20 + -5x) = -2(x + -3) Reorder the terms: -20 + 2x + -5x = -2(x + -3) Combine like terms: 2x + -5x = -3x -20 + -3x = -2(x + -3) Reorder the terms: -20 + -3x = -2(-3 + x) -20 + -3x = (-3 * -2 + x * -2) -20 + -3x = (6 + -2x) Solving -20 + -3x = 6 + -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. -20 + -3x + 2x = 6 + -2x + 2x Combine like terms: -3x + 2x = -1x -20 + -1x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + -1x = 6 + 0 -20 + -1x = 6 Add '20' to each side of the equation. -20 + 20 + -1x = 6 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 6 + 20 -1x = 6 + 20 Combine like terms: 6 + 20 = 26 -1x = 26 Divide each side by '-1'. x = -26 Simplifying x = -26
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