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Simplifying 1(x + 5) + 6x = 4x Reorder the terms: 1(5 + x) + 6x = 4x (5 * 1 + x * 1) + 6x = 4x (5 + 1x) + 6x = 4x Combine like terms: 1x + 6x = 7x 5 + 7x = 4x Solving 5 + 7x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 7x + -4x = 4x + -4x Combine like terms: 7x + -4x = 3x 5 + 3x = 4x + -4x Combine like terms: 4x + -4x = 0 5 + 3x = 0 Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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