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Simplifying 3 + -5(2x + 1) = 6x + -2(x + -3) Reorder the terms: 3 + -5(1 + 2x) = 6x + -2(x + -3) 3 + (1 * -5 + 2x * -5) = 6x + -2(x + -3) 3 + (-5 + -10x) = 6x + -2(x + -3) Combine like terms: 3 + -5 = -2 -2 + -10x = 6x + -2(x + -3) Reorder the terms: -2 + -10x = 6x + -2(-3 + x) -2 + -10x = 6x + (-3 * -2 + x * -2) -2 + -10x = 6x + (6 + -2x) Reorder the terms: -2 + -10x = 6 + 6x + -2x Combine like terms: 6x + -2x = 4x -2 + -10x = 6 + 4x Solving -2 + -10x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + -10x + -4x = 6 + 4x + -4x Combine like terms: -10x + -4x = -14x -2 + -14x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -14x = 6 + 0 -2 + -14x = 6 Add '2' to each side of the equation. -2 + 2 + -14x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -14x = 6 + 2 -14x = 6 + 2 Combine like terms: 6 + 2 = 8 -14x = 8 Divide each side by '-14'. x = -0.5714285714 Simplifying x = -0.5714285714
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