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