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Simplifying 44 + -1(3x + 4) = 4(x + 6) + x Reorder the terms: 44 + -1(4 + 3x) = 4(x + 6) + x 44 + (4 * -1 + 3x * -1) = 4(x + 6) + x 44 + (-4 + -3x) = 4(x + 6) + x Combine like terms: 44 + -4 = 40 40 + -3x = 4(x + 6) + x Reorder the terms: 40 + -3x = 4(6 + x) + x 40 + -3x = (6 * 4 + x * 4) + x 40 + -3x = (24 + 4x) + x Combine like terms: 4x + x = 5x 40 + -3x = 24 + 5x Solving 40 + -3x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 40 + -3x + -5x = 24 + 5x + -5x Combine like terms: -3x + -5x = -8x 40 + -8x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + -8x = 24 + 0 40 + -8x = 24 Add '-40' to each side of the equation. 40 + -40 + -8x = 24 + -40 Combine like terms: 40 + -40 = 0 0 + -8x = 24 + -40 -8x = 24 + -40 Combine like terms: 24 + -40 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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