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Simplifying 50 + -1(3x + 6) = 4(x + 7) + x Reorder the terms: 50 + -1(6 + 3x) = 4(x + 7) + x 50 + (6 * -1 + 3x * -1) = 4(x + 7) + x 50 + (-6 + -3x) = 4(x + 7) + x Combine like terms: 50 + -6 = 44 44 + -3x = 4(x + 7) + x Reorder the terms: 44 + -3x = 4(7 + x) + x 44 + -3x = (7 * 4 + x * 4) + x 44 + -3x = (28 + 4x) + x Combine like terms: 4x + x = 5x 44 + -3x = 28 + 5x Solving 44 + -3x = 28 + 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. 44 + -3x + -5x = 28 + 5x + -5x Combine like terms: -3x + -5x = -8x 44 + -8x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 44 + -8x = 28 + 0 44 + -8x = 28 Add '-44' to each side of the equation. 44 + -44 + -8x = 28 + -44 Combine like terms: 44 + -44 = 0 0 + -8x = 28 + -44 -8x = 28 + -44 Combine like terms: 28 + -44 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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