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Simplifying 51 + -27x = 17 + -6x * 7 Reorder the terms for easier multiplication: 51 + -27x = 17 + -6 * 7x Multiply -6 * 7 51 + -27x = 17 + -42x Solving 51 + -27x = 17 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 51 + -27x + 42x = 17 + -42x + 42x Combine like terms: -27x + 42x = 15x 51 + 15x = 17 + -42x + 42x Combine like terms: -42x + 42x = 0 51 + 15x = 17 + 0 51 + 15x = 17 Add '-51' to each side of the equation. 51 + -51 + 15x = 17 + -51 Combine like terms: 51 + -51 = 0 0 + 15x = 17 + -51 15x = 17 + -51 Combine like terms: 17 + -51 = -34 15x = -34 Divide each side by '15'. x = -2.266666667 Simplifying x = -2.266666667
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