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