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Simplifying 6x + -4(-1x + 10) = x + 41 Reorder the terms: 6x + -4(10 + -1x) = x + 41 6x + (10 * -4 + -1x * -4) = x + 41 6x + (-40 + 4x) = x + 41 Reorder the terms: -40 + 6x + 4x = x + 41 Combine like terms: 6x + 4x = 10x -40 + 10x = x + 41 Reorder the terms: -40 + 10x = 41 + x Solving -40 + 10x = 41 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -40 + 10x + -1x = 41 + x + -1x Combine like terms: 10x + -1x = 9x -40 + 9x = 41 + x + -1x Combine like terms: x + -1x = 0 -40 + 9x = 41 + 0 -40 + 9x = 41 Add '40' to each side of the equation. -40 + 40 + 9x = 41 + 40 Combine like terms: -40 + 40 = 0 0 + 9x = 41 + 40 9x = 41 + 40 Combine like terms: 41 + 40 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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