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Simplifying 1(x + 7) + -4(x + 7) = -2 Reorder the terms: 1(7 + x) + -4(x + 7) = -2 (7 * 1 + x * 1) + -4(x + 7) = -2 (7 + 1x) + -4(x + 7) = -2 Reorder the terms: 7 + 1x + -4(7 + x) = -2 7 + 1x + (7 * -4 + x * -4) = -2 7 + 1x + (-28 + -4x) = -2 Reorder the terms: 7 + -28 + 1x + -4x = -2 Combine like terms: 7 + -28 = -21 -21 + 1x + -4x = -2 Combine like terms: 1x + -4x = -3x -21 + -3x = -2 Solving -21 + -3x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -3x = -2 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = -2 + 21 -3x = -2 + 21 Combine like terms: -2 + 21 = 19 -3x = 19 Divide each side by '-3'. x = -6.333333333 Simplifying x = -6.333333333
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