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Simplifying 8 + -6x + -2 = -42 + 3x + -15 Reorder the terms: 8 + -2 + -6x = -42 + 3x + -15 Combine like terms: 8 + -2 = 6 6 + -6x = -42 + 3x + -15 Reorder the terms: 6 + -6x = -42 + -15 + 3x Combine like terms: -42 + -15 = -57 6 + -6x = -57 + 3x Solving 6 + -6x = -57 + 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. 6 + -6x + -3x = -57 + 3x + -3x Combine like terms: -6x + -3x = -9x 6 + -9x = -57 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -9x = -57 + 0 6 + -9x = -57 Add '-6' to each side of the equation. 6 + -6 + -9x = -57 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -57 + -6 -9x = -57 + -6 Combine like terms: -57 + -6 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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