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Simplifying 2(7x + 3) + 2x = 2(x + -4) Reorder the terms: 2(3 + 7x) + 2x = 2(x + -4) (3 * 2 + 7x * 2) + 2x = 2(x + -4) (6 + 14x) + 2x = 2(x + -4) Combine like terms: 14x + 2x = 16x 6 + 16x = 2(x + -4) Reorder the terms: 6 + 16x = 2(-4 + x) 6 + 16x = (-4 * 2 + x * 2) 6 + 16x = (-8 + 2x) Solving 6 + 16x = -8 + 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 + 16x + -2x = -8 + 2x + -2x Combine like terms: 16x + -2x = 14x 6 + 14x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 14x = -8 + 0 6 + 14x = -8 Add '-6' to each side of the equation. 6 + -6 + 14x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = -8 + -6 14x = -8 + -6 Combine like terms: -8 + -6 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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