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Simplifying 2x + -6 + -3 + 2(2x + 8) = 4x + -1 Reorder the terms: 2x + -6 + -3 + 2(8 + 2x) = 4x + -1 2x + -6 + -3 + (8 * 2 + 2x * 2) = 4x + -1 2x + -6 + -3 + (16 + 4x) = 4x + -1 Reorder the terms: -6 + -3 + 16 + 2x + 4x = 4x + -1 Combine like terms: -6 + -3 = -9 -9 + 16 + 2x + 4x = 4x + -1 Combine like terms: -9 + 16 = 7 7 + 2x + 4x = 4x + -1 Combine like terms: 2x + 4x = 6x 7 + 6x = 4x + -1 Reorder the terms: 7 + 6x = -1 + 4x Solving 7 + 6x = -1 + 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. 7 + 6x + -4x = -1 + 4x + -4x Combine like terms: 6x + -4x = 2x 7 + 2x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 2x = -1 + 0 7 + 2x = -1 Add '-7' to each side of the equation. 7 + -7 + 2x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -1 + -7 2x = -1 + -7 Combine like terms: -1 + -7 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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