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Simplifying 4(x + -2) + -6 = -2(x + 3) Reorder the terms: 4(-2 + x) + -6 = -2(x + 3) (-2 * 4 + x * 4) + -6 = -2(x + 3) (-8 + 4x) + -6 = -2(x + 3) Reorder the terms: -8 + -6 + 4x = -2(x + 3) Combine like terms: -8 + -6 = -14 -14 + 4x = -2(x + 3) Reorder the terms: -14 + 4x = -2(3 + x) -14 + 4x = (3 * -2 + x * -2) -14 + 4x = (-6 + -2x) Solving -14 + 4x = -6 + -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. -14 + 4x + 2x = -6 + -2x + 2x Combine like terms: 4x + 2x = 6x -14 + 6x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 6x = -6 + 0 -14 + 6x = -6 Add '14' to each side of the equation. -14 + 14 + 6x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = -6 + 14 6x = -6 + 14 Combine like terms: -6 + 14 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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