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Simplifying -5(2x + 1) = 2(3x + -4) Reorder the terms: -5(1 + 2x) = 2(3x + -4) (1 * -5 + 2x * -5) = 2(3x + -4) (-5 + -10x) = 2(3x + -4) Reorder the terms: -5 + -10x = 2(-4 + 3x) -5 + -10x = (-4 * 2 + 3x * 2) -5 + -10x = (-8 + 6x) Solving -5 + -10x = -8 + 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. -5 + -10x + -6x = -8 + 6x + -6x Combine like terms: -10x + -6x = -16x -5 + -16x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -16x = -8 + 0 -5 + -16x = -8 Add '5' to each side of the equation. -5 + 5 + -16x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -16x = -8 + 5 -16x = -8 + 5 Combine like terms: -8 + 5 = -3 -16x = -3 Divide each side by '-16'. x = 0.1875 Simplifying x = 0.1875
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