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Simplifying 3(x + -17) = 2(x + -3) Reorder the terms: 3(-17 + x) = 2(x + -3) (-17 * 3 + x * 3) = 2(x + -3) (-51 + 3x) = 2(x + -3) Reorder the terms: -51 + 3x = 2(-3 + x) -51 + 3x = (-3 * 2 + x * 2) -51 + 3x = (-6 + 2x) Solving -51 + 3x = -6 + 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. -51 + 3x + -2x = -6 + 2x + -2x Combine like terms: 3x + -2x = 1x -51 + 1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -51 + 1x = -6 + 0 -51 + 1x = -6 Add '51' to each side of the equation. -51 + 51 + 1x = -6 + 51 Combine like terms: -51 + 51 = 0 0 + 1x = -6 + 51 1x = -6 + 51 Combine like terms: -6 + 51 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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