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Simplifying 2(4x + 2) = 10(3x + -4) Reorder the terms: 2(2 + 4x) = 10(3x + -4) (2 * 2 + 4x * 2) = 10(3x + -4) (4 + 8x) = 10(3x + -4) Reorder the terms: 4 + 8x = 10(-4 + 3x) 4 + 8x = (-4 * 10 + 3x * 10) 4 + 8x = (-40 + 30x) Solving 4 + 8x = -40 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 4 + 8x + -30x = -40 + 30x + -30x Combine like terms: 8x + -30x = -22x 4 + -22x = -40 + 30x + -30x Combine like terms: 30x + -30x = 0 4 + -22x = -40 + 0 4 + -22x = -40 Add '-4' to each side of the equation. 4 + -4 + -22x = -40 + -4 Combine like terms: 4 + -4 = 0 0 + -22x = -40 + -4 -22x = -40 + -4 Combine like terms: -40 + -4 = -44 -22x = -44 Divide each side by '-22'. x = 2 Simplifying x = 2
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