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Simplifying 92 = 6x + 7(-3x + -4) Reorder the terms: 92 = 6x + 7(-4 + -3x) 92 = 6x + (-4 * 7 + -3x * 7) 92 = 6x + (-28 + -21x) Reorder the terms: 92 = -28 + 6x + -21x Combine like terms: 6x + -21x = -15x 92 = -28 + -15x Solving 92 = -28 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 92 + 15x = -28 + -15x + 15x Combine like terms: -15x + 15x = 0 92 + 15x = -28 + 0 92 + 15x = -28 Add '-92' to each side of the equation. 92 + -92 + 15x = -28 + -92 Combine like terms: 92 + -92 = 0 0 + 15x = -28 + -92 15x = -28 + -92 Combine like terms: -28 + -92 = -120 15x = -120 Divide each side by '15'. x = -8 Simplifying x = -8
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