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Simplifying 5(1 + -1x) + -2(x + 4) = 3 + -2x (1 * 5 + -1x * 5) + -2(x + 4) = 3 + -2x (5 + -5x) + -2(x + 4) = 3 + -2x Reorder the terms: 5 + -5x + -2(4 + x) = 3 + -2x 5 + -5x + (4 * -2 + x * -2) = 3 + -2x 5 + -5x + (-8 + -2x) = 3 + -2x Reorder the terms: 5 + -8 + -5x + -2x = 3 + -2x Combine like terms: 5 + -8 = -3 -3 + -5x + -2x = 3 + -2x Combine like terms: -5x + -2x = -7x -3 + -7x = 3 + -2x Solving -3 + -7x = 3 + -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. -3 + -7x + 2x = 3 + -2x + 2x Combine like terms: -7x + 2x = -5x -3 + -5x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + -5x = 3 + 0 -3 + -5x = 3 Add '3' to each side of the equation. -3 + 3 + -5x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 3 + 3 -5x = 3 + 3 Combine like terms: 3 + 3 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2
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