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Simplifying 5 + -2(3x + 6) = -2[4 + -1(3x + 2)] Reorder the terms: 5 + -2(6 + 3x) = -2[4 + -1(3x + 2)] 5 + (6 * -2 + 3x * -2) = -2[4 + -1(3x + 2)] 5 + (-12 + -6x) = -2[4 + -1(3x + 2)] Combine like terms: 5 + -12 = -7 -7 + -6x = -2[4 + -1(3x + 2)] Reorder the terms: -7 + -6x = -2[4 + -1(2 + 3x)] -7 + -6x = -2[4 + (2 * -1 + 3x * -1)] -7 + -6x = -2[4 + (-2 + -3x)] Combine like terms: 4 + -2 = 2 -7 + -6x = -2[2 + -3x] -7 + -6x = [2 * -2 + -3x * -2] -7 + -6x = [-4 + 6x] Solving -7 + -6x = -4 + 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. -7 + -6x + -6x = -4 + 6x + -6x Combine like terms: -6x + -6x = -12x -7 + -12x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -12x = -4 + 0 -7 + -12x = -4 Add '7' to each side of the equation. -7 + 7 + -12x = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -12x = -4 + 7 -12x = -4 + 7 Combine like terms: -4 + 7 = 3 -12x = 3 Divide each side by '-12'. x = -0.25 Simplifying x = -0.25
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