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Simplifying 2x + -1(x + 1) = -3 + 4(x + -7) Reorder the terms: 2x + -1(1 + x) = -3 + 4(x + -7) 2x + (1 * -1 + x * -1) = -3 + 4(x + -7) 2x + (-1 + -1x) = -3 + 4(x + -7) Reorder the terms: -1 + 2x + -1x = -3 + 4(x + -7) Combine like terms: 2x + -1x = 1x -1 + 1x = -3 + 4(x + -7) Reorder the terms: -1 + 1x = -3 + 4(-7 + x) -1 + 1x = -3 + (-7 * 4 + x * 4) -1 + 1x = -3 + (-28 + 4x) Combine like terms: -3 + -28 = -31 -1 + 1x = -31 + 4x Solving -1 + 1x = -31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 1x + -4x = -31 + 4x + -4x Combine like terms: 1x + -4x = -3x -1 + -3x = -31 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -3x = -31 + 0 -1 + -3x = -31 Add '1' to each side of the equation. -1 + 1 + -3x = -31 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = -31 + 1 -3x = -31 + 1 Combine like terms: -31 + 1 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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