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Simplifying 6x + 3 + 2(x + 1) = -1(4x + -4) Reorder the terms: 6x + 3 + 2(1 + x) = -1(4x + -4) 6x + 3 + (1 * 2 + x * 2) = -1(4x + -4) 6x + 3 + (2 + 2x) = -1(4x + -4) Reorder the terms: 3 + 2 + 6x + 2x = -1(4x + -4) Combine like terms: 3 + 2 = 5 5 + 6x + 2x = -1(4x + -4) Combine like terms: 6x + 2x = 8x 5 + 8x = -1(4x + -4) Reorder the terms: 5 + 8x = -1(-4 + 4x) 5 + 8x = (-4 * -1 + 4x * -1) 5 + 8x = (4 + -4x) Solving 5 + 8x = 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. 5 + 8x + 4x = 4 + -4x + 4x Combine like terms: 8x + 4x = 12x 5 + 12x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 12x = 4 + 0 5 + 12x = 4 Add '-5' to each side of the equation. 5 + -5 + 12x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 4 + -5 12x = 4 + -5 Combine like terms: 4 + -5 = -1 12x = -1 Divide each side by '12'. x = -0.08333333333 Simplifying x = -0.08333333333
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