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Simplifying 3 + -1(x + 4) = x + 7 Reorder the terms: 3 + -1(4 + x) = x + 7 3 + (4 * -1 + x * -1) = x + 7 3 + (-4 + -1x) = x + 7 Combine like terms: 3 + -4 = -1 -1 + -1x = x + 7 Reorder the terms: -1 + -1x = 7 + x Solving -1 + -1x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + -1x + -1x = 7 + x + -1x Combine like terms: -1x + -1x = -2x -1 + -2x = 7 + x + -1x Combine like terms: x + -1x = 0 -1 + -2x = 7 + 0 -1 + -2x = 7 Add '1' to each side of the equation. -1 + 1 + -2x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 7 + 1 -2x = 7 + 1 Combine like terms: 7 + 1 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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