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Simplifying 5(2x + -1) = 2(6x + -3) + 4x + -2 Reorder the terms: 5(-1 + 2x) = 2(6x + -3) + 4x + -2 (-1 * 5 + 2x * 5) = 2(6x + -3) + 4x + -2 (-5 + 10x) = 2(6x + -3) + 4x + -2 Reorder the terms: -5 + 10x = 2(-3 + 6x) + 4x + -2 -5 + 10x = (-3 * 2 + 6x * 2) + 4x + -2 -5 + 10x = (-6 + 12x) + 4x + -2 Reorder the terms: -5 + 10x = -6 + -2 + 12x + 4x Combine like terms: -6 + -2 = -8 -5 + 10x = -8 + 12x + 4x Combine like terms: 12x + 4x = 16x -5 + 10x = -8 + 16x Solving -5 + 10x = -8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -5 + 10x + -16x = -8 + 16x + -16x Combine like terms: 10x + -16x = -6x -5 + -6x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 -5 + -6x = -8 + 0 -5 + -6x = -8 Add '5' to each side of the equation. -5 + 5 + -6x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -8 + 5 -6x = -8 + 5 Combine like terms: -8 + 5 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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