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Simplifying 4(3x + -4) + -1(x + 1) = 10 Reorder the terms: 4(-4 + 3x) + -1(x + 1) = 10 (-4 * 4 + 3x * 4) + -1(x + 1) = 10 (-16 + 12x) + -1(x + 1) = 10 Reorder the terms: -16 + 12x + -1(1 + x) = 10 -16 + 12x + (1 * -1 + x * -1) = 10 -16 + 12x + (-1 + -1x) = 10 Reorder the terms: -16 + -1 + 12x + -1x = 10 Combine like terms: -16 + -1 = -17 -17 + 12x + -1x = 10 Combine like terms: 12x + -1x = 11x -17 + 11x = 10 Solving -17 + 11x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 11x = 10 + 17 Combine like terms: -17 + 17 = 0 0 + 11x = 10 + 17 11x = 10 + 17 Combine like terms: 10 + 17 = 27 11x = 27 Divide each side by '11'. x = 2.454545455 Simplifying x = 2.454545455
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