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Simplifying 4x + -2 = 3 + -1(4 + -6x) Reorder the terms: -2 + 4x = 3 + -1(4 + -6x) -2 + 4x = 3 + (4 * -1 + -6x * -1) -2 + 4x = 3 + (-4 + 6x) Combine like terms: 3 + -4 = -1 -2 + 4x = -1 + 6x Solving -2 + 4x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 4x + -6x = -1 + 6x + -6x Combine like terms: 4x + -6x = -2x -2 + -2x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -2x = -1 + 0 -2 + -2x = -1 Add '2' to each side of the equation. -2 + 2 + -2x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -1 + 2 -2x = -1 + 2 Combine like terms: -1 + 2 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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