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Simplifying 5 + -2(3x + 1) = -4(x + -1) Reorder the terms: 5 + -2(1 + 3x) = -4(x + -1) 5 + (1 * -2 + 3x * -2) = -4(x + -1) 5 + (-2 + -6x) = -4(x + -1) Combine like terms: 5 + -2 = 3 3 + -6x = -4(x + -1) Reorder the terms: 3 + -6x = -4(-1 + x) 3 + -6x = (-1 * -4 + x * -4) 3 + -6x = (4 + -4x) Solving 3 + -6x = 4 + -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. 3 + -6x + 4x = 4 + -4x + 4x Combine like terms: -6x + 4x = -2x 3 + -2x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + -2x = 4 + 0 3 + -2x = 4 Add '-3' to each side of the equation. 3 + -3 + -2x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 4 + -3 -2x = 4 + -3 Combine like terms: 4 + -3 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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