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Simplifying 2[x + -1(4x + 2x) + 3] = 2x + 2 Combine like terms: 4x + 2x = 6x 2[x + -1(6x) + 3] = 2x + 2 Remove parenthesis around (6x) 2[x + -1 * 6x + 3] = 2x + 2 Multiply -1 * 6 2[x + -6x + 3] = 2x + 2 Reorder the terms: 2[3 + x + -6x] = 2x + 2 Combine like terms: x + -6x = -5x 2[3 + -5x] = 2x + 2 [3 * 2 + -5x * 2] = 2x + 2 [6 + -10x] = 2x + 2 Reorder the terms: 6 + -10x = 2 + 2x Solving 6 + -10x = 2 + 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. 6 + -10x + -2x = 2 + 2x + -2x Combine like terms: -10x + -2x = -12x 6 + -12x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -12x = 2 + 0 6 + -12x = 2 Add '-6' to each side of the equation. 6 + -6 + -12x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = 2 + -6 -12x = 2 + -6 Combine like terms: 2 + -6 = -4 -12x = -4 Divide each side by '-12'. x = 0.3333333333 Simplifying x = 0.3333333333
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