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Simplifying 1 + -1x = -3(x + 4) + 7 Reorder the terms: 1 + -1x = -3(4 + x) + 7 1 + -1x = (4 * -3 + x * -3) + 7 1 + -1x = (-12 + -3x) + 7 Reorder the terms: 1 + -1x = -12 + 7 + -3x Combine like terms: -12 + 7 = -5 1 + -1x = -5 + -3x Solving 1 + -1x = -5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + -1x + 3x = -5 + -3x + 3x Combine like terms: -1x + 3x = 2x 1 + 2x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 2x = -5 + 0 1 + 2x = -5 Add '-1' to each side of the equation. 1 + -1 + 2x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -5 + -1 2x = -5 + -1 Combine like terms: -5 + -1 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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