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Simplifying 4 + 2(x + -3) = 2[4 + -6(x + 2)] Reorder the terms: 4 + 2(-3 + x) = 2[4 + -6(x + 2)] 4 + (-3 * 2 + x * 2) = 2[4 + -6(x + 2)] 4 + (-6 + 2x) = 2[4 + -6(x + 2)] Combine like terms: 4 + -6 = -2 -2 + 2x = 2[4 + -6(x + 2)] Reorder the terms: -2 + 2x = 2[4 + -6(2 + x)] -2 + 2x = 2[4 + (2 * -6 + x * -6)] -2 + 2x = 2[4 + (-12 + -6x)] Combine like terms: 4 + -12 = -8 -2 + 2x = 2[-8 + -6x] -2 + 2x = [-8 * 2 + -6x * 2] -2 + 2x = [-16 + -12x] Solving -2 + 2x = -16 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -2 + 2x + 12x = -16 + -12x + 12x Combine like terms: 2x + 12x = 14x -2 + 14x = -16 + -12x + 12x Combine like terms: -12x + 12x = 0 -2 + 14x = -16 + 0 -2 + 14x = -16 Add '2' to each side of the equation. -2 + 2 + 14x = -16 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = -16 + 2 14x = -16 + 2 Combine like terms: -16 + 2 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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