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Simplifying 51 + -1(-6) = -4x + 12 + -1x Multiply -1 * -6 51 + 6 = -4x + 12 + -1x Combine like terms: 51 + 6 = 57 57 = -4x + 12 + -1x Reorder the terms: 57 = 12 + -4x + -1x Combine like terms: -4x + -1x = -5x 57 = 12 + -5x Solving 57 = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 57 + 5x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 57 + 5x = 12 + 0 57 + 5x = 12 Add '-57' to each side of the equation. 57 + -57 + 5x = 12 + -57 Combine like terms: 57 + -57 = 0 0 + 5x = 12 + -57 5x = 12 + -57 Combine like terms: 12 + -57 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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