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Simplifying 4(2x + -7) + 3(x + -1) = 46 Reorder the terms: 4(-7 + 2x) + 3(x + -1) = 46 (-7 * 4 + 2x * 4) + 3(x + -1) = 46 (-28 + 8x) + 3(x + -1) = 46 Reorder the terms: -28 + 8x + 3(-1 + x) = 46 -28 + 8x + (-1 * 3 + x * 3) = 46 -28 + 8x + (-3 + 3x) = 46 Reorder the terms: -28 + -3 + 8x + 3x = 46 Combine like terms: -28 + -3 = -31 -31 + 8x + 3x = 46 Combine like terms: 8x + 3x = 11x -31 + 11x = 46 Solving -31 + 11x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 11x = 46 + 31 Combine like terms: -31 + 31 = 0 0 + 11x = 46 + 31 11x = 46 + 31 Combine like terms: 46 + 31 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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