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Simplifying 6x + 17 = 2(x + -3) + 5 Reorder the terms: 17 + 6x = 2(x + -3) + 5 Reorder the terms: 17 + 6x = 2(-3 + x) + 5 17 + 6x = (-3 * 2 + x * 2) + 5 17 + 6x = (-6 + 2x) + 5 Reorder the terms: 17 + 6x = -6 + 5 + 2x Combine like terms: -6 + 5 = -1 17 + 6x = -1 + 2x Solving 17 + 6x = -1 + 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. 17 + 6x + -2x = -1 + 2x + -2x Combine like terms: 6x + -2x = 4x 17 + 4x = -1 + 2x + -2x Combine like terms: 2x + -2x = 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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