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Simplifying 17 + 2(x + -16) = 3(x + -17) Reorder the terms: 17 + 2(-16 + x) = 3(x + -17) 17 + (-16 * 2 + x * 2) = 3(x + -17) 17 + (-32 + 2x) = 3(x + -17) Combine like terms: 17 + -32 = -15 -15 + 2x = 3(x + -17) Reorder the terms: -15 + 2x = 3(-17 + x) -15 + 2x = (-17 * 3 + x * 3) -15 + 2x = (-51 + 3x) Solving -15 + 2x = -51 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 2x + -3x = -51 + 3x + -3x Combine like terms: 2x + -3x = -1x -15 + -1x = -51 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + -1x = -51 + 0 -15 + -1x = -51 Add '15' to each side of the equation. -15 + 15 + -1x = -51 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -51 + 15 -1x = -51 + 15 Combine like terms: -51 + 15 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36
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