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Simplifying -14 + 6x = 7(x + 5) + 6x Reorder the terms: -14 + 6x = 7(5 + x) + 6x -14 + 6x = (5 * 7 + x * 7) + 6x -14 + 6x = (35 + 7x) + 6x Combine like terms: 7x + 6x = 13x -14 + 6x = 35 + 13x Solving -14 + 6x = 35 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -14 + 6x + -13x = 35 + 13x + -13x Combine like terms: 6x + -13x = -7x -14 + -7x = 35 + 13x + -13x Combine like terms: 13x + -13x = 0 -14 + -7x = 35 + 0 -14 + -7x = 35 Add '14' to each side of the equation. -14 + 14 + -7x = 35 + 14 Combine like terms: -14 + 14 = 0 0 + -7x = 35 + 14 -7x = 35 + 14 Combine like terms: 35 + 14 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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