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Simplifying 6x + -5 = 3 + 2(4x + 7) Reorder the terms: -5 + 6x = 3 + 2(4x + 7) Reorder the terms: -5 + 6x = 3 + 2(7 + 4x) -5 + 6x = 3 + (7 * 2 + 4x * 2) -5 + 6x = 3 + (14 + 8x) Combine like terms: 3 + 14 = 17 -5 + 6x = 17 + 8x Solving -5 + 6x = 17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 6x + -8x = 17 + 8x + -8x Combine like terms: 6x + -8x = -2x -5 + -2x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -2x = 17 + 0 -5 + -2x = 17 Add '5' to each side of the equation. -5 + 5 + -2x = 17 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 17 + 5 -2x = 17 + 5 Combine like terms: 17 + 5 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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