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Simplifying 2(4x + 3) + -5 = 6x + -17 Reorder the terms: 2(3 + 4x) + -5 = 6x + -17 (3 * 2 + 4x * 2) + -5 = 6x + -17 (6 + 8x) + -5 = 6x + -17 Reorder the terms: 6 + -5 + 8x = 6x + -17 Combine like terms: 6 + -5 = 1 1 + 8x = 6x + -17 Reorder the terms: 1 + 8x = -17 + 6x Solving 1 + 8x = -17 + 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. 1 + 8x + -6x = -17 + 6x + -6x Combine like terms: 8x + -6x = 2x 1 + 2x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 2x = -17 + 0 1 + 2x = -17 Add '-1' to each side of the equation. 1 + -1 + 2x = -17 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -17 + -1 2x = -17 + -1 Combine like terms: -17 + -1 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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