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Simplifying 1 + -5(x + 2) = 7 + -1x Reorder the terms: 1 + -5(2 + x) = 7 + -1x 1 + (2 * -5 + x * -5) = 7 + -1x 1 + (-10 + -5x) = 7 + -1x Combine like terms: 1 + -10 = -9 -9 + -5x = 7 + -1x Solving -9 + -5x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + -5x + x = 7 + -1x + x Combine like terms: -5x + x = -4x -9 + -4x = 7 + -1x + x Combine like terms: -1x + x = 0 -9 + -4x = 7 + 0 -9 + -4x = 7 Add '9' to each side of the equation. -9 + 9 + -4x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 7 + 9 -4x = 7 + 9 Combine like terms: 7 + 9 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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