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Simplifying 6x + 5 + -4 = -2x + 17 Reorder the terms: 5 + -4 + 6x = -2x + 17 Combine like terms: 5 + -4 = 1 1 + 6x = -2x + 17 Reorder the terms: 1 + 6x = 17 + -2x Solving 1 + 6x = 17 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + 6x + 2x = 17 + -2x + 2x Combine like terms: 6x + 2x = 8x 1 + 8x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 8x = 17 + 0 1 + 8x = 17 Add '-1' to each side of the equation. 1 + -1 + 8x = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 17 + -1 8x = 17 + -1 Combine like terms: 17 + -1 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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