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Simplifying -2(5x + 1) = -2(3x + -2) Reorder the terms: -2(1 + 5x) = -2(3x + -2) (1 * -2 + 5x * -2) = -2(3x + -2) (-2 + -10x) = -2(3x + -2) Reorder the terms: -2 + -10x = -2(-2 + 3x) -2 + -10x = (-2 * -2 + 3x * -2) -2 + -10x = (4 + -6x) Solving -2 + -10x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + -10x + 6x = 4 + -6x + 6x Combine like terms: -10x + 6x = -4x -2 + -4x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + -4x = 4 + 0 -2 + -4x = 4 Add '2' to each side of the equation. -2 + 2 + -4x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 4 + 2 -4x = 4 + 2 Combine like terms: 4 + 2 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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