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Simplifying 7(x + 5) + 3x = 4x + -6 Reorder the terms: 7(5 + x) + 3x = 4x + -6 (5 * 7 + x * 7) + 3x = 4x + -6 (35 + 7x) + 3x = 4x + -6 Combine like terms: 7x + 3x = 10x 35 + 10x = 4x + -6 Reorder the terms: 35 + 10x = -6 + 4x Solving 35 + 10x = -6 + 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. 35 + 10x + -4x = -6 + 4x + -4x Combine like terms: 10x + -4x = 6x 35 + 6x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + 6x = -6 + 0 35 + 6x = -6 Add '-35' to each side of the equation. 35 + -35 + 6x = -6 + -35 Combine like terms: 35 + -35 = 0 0 + 6x = -6 + -35 6x = -6 + -35 Combine like terms: -6 + -35 = -41 6x = -41 Divide each side by '6'. x = -6.833333333 Simplifying x = -6.833333333
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