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Simplifying 3(x + -2) = 5x + 6 + -2(-6x + -3) Reorder the terms: 3(-2 + x) = 5x + 6 + -2(-6x + -3) (-2 * 3 + x * 3) = 5x + 6 + -2(-6x + -3) (-6 + 3x) = 5x + 6 + -2(-6x + -3) Reorder the terms: -6 + 3x = 5x + 6 + -2(-3 + -6x) -6 + 3x = 5x + 6 + (-3 * -2 + -6x * -2) -6 + 3x = 5x + 6 + (6 + 12x) Reorder the terms: -6 + 3x = 6 + 6 + 5x + 12x Combine like terms: 6 + 6 = 12 -6 + 3x = 12 + 5x + 12x Combine like terms: 5x + 12x = 17x -6 + 3x = 12 + 17x Solving -6 + 3x = 12 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -6 + 3x + -17x = 12 + 17x + -17x Combine like terms: 3x + -17x = -14x -6 + -14x = 12 + 17x + -17x Combine like terms: 17x + -17x = 0 -6 + -14x = 12 + 0 -6 + -14x = 12 Add '6' to each side of the equation. -6 + 6 + -14x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -14x = 12 + 6 -14x = 12 + 6 Combine like terms: 12 + 6 = 18 -14x = 18 Divide each side by '-14'. x = -1.285714286 Simplifying x = -1.285714286
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