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Simplifying 1 + 5(x + -4) = -7x + 2 Reorder the terms: 1 + 5(-4 + x) = -7x + 2 1 + (-4 * 5 + x * 5) = -7x + 2 1 + (-20 + 5x) = -7x + 2 Combine like terms: 1 + -20 = -19 -19 + 5x = -7x + 2 Reorder the terms: -19 + 5x = 2 + -7x Solving -19 + 5x = 2 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -19 + 5x + 7x = 2 + -7x + 7x Combine like terms: 5x + 7x = 12x -19 + 12x = 2 + -7x + 7x Combine like terms: -7x + 7x = 0 -19 + 12x = 2 + 0 -19 + 12x = 2 Add '19' to each side of the equation. -19 + 19 + 12x = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 12x = 2 + 19 12x = 2 + 19 Combine like terms: 2 + 19 = 21 12x = 21 Divide each side by '12'. x = 1.75 Simplifying x = 1.75
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