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Simplifying 2x + 3 + 2(4x + 7) = 6x + -1 Reorder the terms: 2x + 3 + 2(7 + 4x) = 6x + -1 2x + 3 + (7 * 2 + 4x * 2) = 6x + -1 2x + 3 + (14 + 8x) = 6x + -1 Reorder the terms: 3 + 14 + 2x + 8x = 6x + -1 Combine like terms: 3 + 14 = 17 17 + 2x + 8x = 6x + -1 Combine like terms: 2x + 8x = 10x 17 + 10x = 6x + -1 Reorder the terms: 17 + 10x = -1 + 6x Solving 17 + 10x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + 10x + -6x = -1 + 6x + -6x Combine like terms: 10x + -6x = 4x 17 + 4x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + 4x = -1 + 0 17 + 4x = -1 Add '-17' to each side of the equation. 17 + -17 + 4x = -1 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = -1 + -17 4x = -1 + -17 Combine like terms: -1 + -17 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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