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Simplifying 2(3x + 1) = -2(x + -4) Reorder the terms: 2(1 + 3x) = -2(x + -4) (1 * 2 + 3x * 2) = -2(x + -4) (2 + 6x) = -2(x + -4) Reorder the terms: 2 + 6x = -2(-4 + x) 2 + 6x = (-4 * -2 + x * -2) 2 + 6x = (8 + -2x) Solving 2 + 6x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 6x + 2x = 8 + -2x + 2x Combine like terms: 6x + 2x = 8x 2 + 8x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 8x = 8 + 0 2 + 8x = 8 Add '-2' to each side of the equation. 2 + -2 + 8x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 8 + -2 8x = 8 + -2 Combine like terms: 8 + -2 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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