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Simplifying 107x + -1(4x + 16) = 4(x + 7) + x Reorder the terms: 107x + -1(16 + 4x) = 4(x + 7) + x 107x + (16 * -1 + 4x * -1) = 4(x + 7) + x 107x + (-16 + -4x) = 4(x + 7) + x Reorder the terms: -16 + 107x + -4x = 4(x + 7) + x Combine like terms: 107x + -4x = 103x -16 + 103x = 4(x + 7) + x Reorder the terms: -16 + 103x = 4(7 + x) + x -16 + 103x = (7 * 4 + x * 4) + x -16 + 103x = (28 + 4x) + x Combine like terms: 4x + x = 5x -16 + 103x = 28 + 5x Solving -16 + 103x = 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. -16 + 103x + -5x = 28 + 5x + -5x Combine like terms: 103x + -5x = 98x -16 + 98x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 98x = 28 + 0 -16 + 98x = 28 Add '16' to each side of the equation. -16 + 16 + 98x = 28 + 16 Combine like terms: -16 + 16 = 0 0 + 98x = 28 + 16 98x = 28 + 16 Combine like terms: 28 + 16 = 44 98x = 44 Divide each side by '98'. x = 0.4489795918 Simplifying x = 0.4489795918
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