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Simplifying -2(x + 1) + -3 = x + 7 Reorder the terms: -2(1 + x) + -3 = x + 7 (1 * -2 + x * -2) + -3 = x + 7 (-2 + -2x) + -3 = x + 7 Reorder the terms: -2 + -3 + -2x = x + 7 Combine like terms: -2 + -3 = -5 -5 + -2x = x + 7 Reorder the terms: -5 + -2x = 7 + x Solving -5 + -2x = 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. -5 + -2x + -1x = 7 + x + -1x Combine like terms: -2x + -1x = -3x -5 + -3x = 7 + x + -1x Combine like terms: x + -1x = 0 -5 + -3x = 7 + 0 -5 + -3x = 7 Add '5' to each side of the equation. -5 + 5 + -3x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 7 + 5 -3x = 7 + 5 Combine like terms: 7 + 5 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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