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