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Simplifying 8x + -4 + 2(2x + 3) = -2(x + 7) Reorder the terms: 8x + -4 + 2(3 + 2x) = -2(x + 7) 8x + -4 + (3 * 2 + 2x * 2) = -2(x + 7) 8x + -4 + (6 + 4x) = -2(x + 7) Reorder the terms: -4 + 6 + 8x + 4x = -2(x + 7) Combine like terms: -4 + 6 = 2 2 + 8x + 4x = -2(x + 7) Combine like terms: 8x + 4x = 12x 2 + 12x = -2(x + 7) Reorder the terms: 2 + 12x = -2(7 + x) 2 + 12x = (7 * -2 + x * -2) 2 + 12x = (-14 + -2x) Solving 2 + 12x = -14 + -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. 2 + 12x + 2x = -14 + -2x + 2x Combine like terms: 12x + 2x = 14x 2 + 14x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 14x = -14 + 0 2 + 14x = -14 Add '-2' to each side of the equation. 2 + -2 + 14x = -14 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = -14 + -2 14x = -14 + -2 Combine like terms: -14 + -2 = -16 14x = -16 Divide each side by '14'. x = -1.142857143 Simplifying x = -1.142857143
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