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Simplifying 6(10x + 2) + -4(10 + -1x) = 0 Reorder the terms: 6(2 + 10x) + -4(10 + -1x) = 0 (2 * 6 + 10x * 6) + -4(10 + -1x) = 0 (12 + 60x) + -4(10 + -1x) = 0 12 + 60x + (10 * -4 + -1x * -4) = 0 12 + 60x + (-40 + 4x) = 0 Reorder the terms: 12 + -40 + 60x + 4x = 0 Combine like terms: 12 + -40 = -28 -28 + 60x + 4x = 0 Combine like terms: 60x + 4x = 64x -28 + 64x = 0 Solving -28 + 64x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 64x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 64x = 0 + 28 64x = 0 + 28 Combine like terms: 0 + 28 = 28 64x = 28 Divide each side by '64'. x = 0.4375 Simplifying x = 0.4375
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