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Simplifying 2(3x + 8) + -4 = 2(2x + -10) Reorder the terms: 2(8 + 3x) + -4 = 2(2x + -10) (8 * 2 + 3x * 2) + -4 = 2(2x + -10) (16 + 6x) + -4 = 2(2x + -10) Reorder the terms: 16 + -4 + 6x = 2(2x + -10) Combine like terms: 16 + -4 = 12 12 + 6x = 2(2x + -10) Reorder the terms: 12 + 6x = 2(-10 + 2x) 12 + 6x = (-10 * 2 + 2x * 2) 12 + 6x = (-20 + 4x) Solving 12 + 6x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 6x + -4x = -20 + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = -20 + 0 12 + 2x = -20 Add '-12' to each side of the equation. 12 + -12 + 2x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -20 + -12 2x = -20 + -12 Combine like terms: -20 + -12 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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