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Simplifying 6x + -1(x + -2) = 2x + -1(4 + x) Reorder the terms: 6x + -1(-2 + x) = 2x + -1(4 + x) 6x + (-2 * -1 + x * -1) = 2x + -1(4 + x) 6x + (2 + -1x) = 2x + -1(4 + x) Reorder the terms: 2 + 6x + -1x = 2x + -1(4 + x) Combine like terms: 6x + -1x = 5x 2 + 5x = 2x + -1(4 + x) 2 + 5x = 2x + (4 * -1 + x * -1) 2 + 5x = 2x + (-4 + -1x) Reorder the terms: 2 + 5x = -4 + 2x + -1x Combine like terms: 2x + -1x = 1x 2 + 5x = -4 + 1x Solving 2 + 5x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 5x + -1x = -4 + 1x + -1x Combine like terms: 5x + -1x = 4x 2 + 4x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + 4x = -4 + 0 2 + 4x = -4 Add '-2' to each side of the equation. 2 + -2 + 4x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -4 + -2 4x = -4 + -2 Combine like terms: -4 + -2 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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