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Simplifying 5 + 2x * 7 = 3x + -1 * 6 Reorder the terms for easier multiplication: 5 + 2 * 7x = 3x + -1 * 6 Multiply 2 * 7 5 + 14x = 3x + -1 * 6 Multiply -1 * 6 5 + 14x = 3x + -6 Reorder the terms: 5 + 14x = -6 + 3x Solving 5 + 14x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 14x + -3x = -6 + 3x + -3x Combine like terms: 14x + -3x = 11x 5 + 11x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 11x = -6 + 0 5 + 11x = -6 Add '-5' to each side of the equation. 5 + -5 + 11x = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = -6 + -5 11x = -6 + -5 Combine like terms: -6 + -5 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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