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Simplifying 4(x + -10) = 6(2 + -1x) + -6 Reorder the terms: 4(-10 + x) = 6(2 + -1x) + -6 (-10 * 4 + x * 4) = 6(2 + -1x) + -6 (-40 + 4x) = 6(2 + -1x) + -6 -40 + 4x = (2 * 6 + -1x * 6) + -6 -40 + 4x = (12 + -6x) + -6 Reorder the terms: -40 + 4x = 12 + -6 + -6x Combine like terms: 12 + -6 = 6 -40 + 4x = 6 + -6x Solving -40 + 4x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -40 + 4x + 6x = 6 + -6x + 6x Combine like terms: 4x + 6x = 10x -40 + 10x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -40 + 10x = 6 + 0 -40 + 10x = 6 Add '40' to each side of the equation. -40 + 40 + 10x = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = 6 + 40 10x = 6 + 40 Combine like terms: 6 + 40 = 46 10x = 46 Divide each side by '10'. x = 4.6 Simplifying x = 4.6
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