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Simplifying 2x + 1 + 5(x + -2) = -4(3 + -1x) + 1 Reorder the terms: 2x + 1 + 5(-2 + x) = -4(3 + -1x) + 1 2x + 1 + (-2 * 5 + x * 5) = -4(3 + -1x) + 1 2x + 1 + (-10 + 5x) = -4(3 + -1x) + 1 Reorder the terms: 1 + -10 + 2x + 5x = -4(3 + -1x) + 1 Combine like terms: 1 + -10 = -9 -9 + 2x + 5x = -4(3 + -1x) + 1 Combine like terms: 2x + 5x = 7x -9 + 7x = -4(3 + -1x) + 1 -9 + 7x = (3 * -4 + -1x * -4) + 1 -9 + 7x = (-12 + 4x) + 1 Reorder the terms: -9 + 7x = -12 + 1 + 4x Combine like terms: -12 + 1 = -11 -9 + 7x = -11 + 4x Solving -9 + 7x = -11 + 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. -9 + 7x + -4x = -11 + 4x + -4x Combine like terms: 7x + -4x = 3x -9 + 3x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 3x = -11 + 0 -9 + 3x = -11 Add '9' to each side of the equation. -9 + 9 + 3x = -11 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = -11 + 9 3x = -11 + 9 Combine like terms: -11 + 9 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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