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Simplifying 12 + 4x = 5(-1x + 2) + -61 Reorder the terms: 12 + 4x = 5(2 + -1x) + -61 12 + 4x = (2 * 5 + -1x * 5) + -61 12 + 4x = (10 + -5x) + -61 Reorder the terms: 12 + 4x = 10 + -61 + -5x Combine like terms: 10 + -61 = -51 12 + 4x = -51 + -5x Solving 12 + 4x = -51 + -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. 12 + 4x + 5x = -51 + -5x + 5x Combine like terms: 4x + 5x = 9x 12 + 9x = -51 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 9x = -51 + 0 12 + 9x = -51 Add '-12' to each side of the equation. 12 + -12 + 9x = -51 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -51 + -12 9x = -51 + -12 Combine like terms: -51 + -12 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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