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Simplifying 7 + 2(x + -4) = 2[7 + -6(x + 2)] Reorder the terms: 7 + 2(-4 + x) = 2[7 + -6(x + 2)] 7 + (-4 * 2 + x * 2) = 2[7 + -6(x + 2)] 7 + (-8 + 2x) = 2[7 + -6(x + 2)] Combine like terms: 7 + -8 = -1 -1 + 2x = 2[7 + -6(x + 2)] Reorder the terms: -1 + 2x = 2[7 + -6(2 + x)] -1 + 2x = 2[7 + (2 * -6 + x * -6)] -1 + 2x = 2[7 + (-12 + -6x)] Combine like terms: 7 + -12 = -5 -1 + 2x = 2[-5 + -6x] -1 + 2x = [-5 * 2 + -6x * 2] -1 + 2x = [-10 + -12x] Solving -1 + 2x = -10 + -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. -1 + 2x + 12x = -10 + -12x + 12x Combine like terms: 2x + 12x = 14x -1 + 14x = -10 + -12x + 12x Combine like terms: -12x + 12x = 0 -1 + 14x = -10 + 0 -1 + 14x = -10 Add '1' to each side of the equation. -1 + 1 + 14x = -10 + 1 Combine like terms: -1 + 1 = 0 0 + 14x = -10 + 1 14x = -10 + 1 Combine like terms: -10 + 1 = -9 14x = -9 Divide each side by '14'. x = -0.6428571429 Simplifying x = -0.6428571429
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