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Simplifying 3(2x + -5) + -6 = 2x + -17 Reorder the terms: 3(-5 + 2x) + -6 = 2x + -17 (-5 * 3 + 2x * 3) + -6 = 2x + -17 (-15 + 6x) + -6 = 2x + -17 Reorder the terms: -15 + -6 + 6x = 2x + -17 Combine like terms: -15 + -6 = -21 -21 + 6x = 2x + -17 Reorder the terms: -21 + 6x = -17 + 2x Solving -21 + 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. -21 + 6x + -2x = -17 + 2x + -2x Combine like terms: 6x + -2x = 4x -21 + 4x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 4x = -17 + 0 -21 + 4x = -17 Add '21' to each side of the equation. -21 + 21 + 4x = -17 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = -17 + 21 4x = -17 + 21 Combine like terms: -17 + 21 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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