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Simplifying 3(5x + -2) + -4(10 + -1x) = (6 + -1x) Reorder the terms: 3(-2 + 5x) + -4(10 + -1x) = (6 + -1x) (-2 * 3 + 5x * 3) + -4(10 + -1x) = (6 + -1x) (-6 + 15x) + -4(10 + -1x) = (6 + -1x) -6 + 15x + (10 * -4 + -1x * -4) = (6 + -1x) -6 + 15x + (-40 + 4x) = (6 + -1x) Reorder the terms: -6 + -40 + 15x + 4x = (6 + -1x) Combine like terms: -6 + -40 = -46 -46 + 15x + 4x = (6 + -1x) Combine like terms: 15x + 4x = 19x -46 + 19x = (6 + -1x) Remove parenthesis around (6 + -1x) -46 + 19x = 6 + -1x Solving -46 + 19x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -46 + 19x + x = 6 + -1x + x Combine like terms: 19x + x = 20x -46 + 20x = 6 + -1x + x Combine like terms: -1x + x = 0 -46 + 20x = 6 + 0 -46 + 20x = 6 Add '46' to each side of the equation. -46 + 46 + 20x = 6 + 46 Combine like terms: -46 + 46 = 0 0 + 20x = 6 + 46 20x = 6 + 46 Combine like terms: 6 + 46 = 52 20x = 52 Divide each side by '20'. x = 2.6 Simplifying x = 2.6
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