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Simplifying 5x + -4 + -12x = 3 + -1(-7) Reorder the terms: -4 + 5x + -12x = 3 + -1(-7) Combine like terms: 5x + -12x = -7x -4 + -7x = 3 + -1(-7) Multiply -1 * -7 -4 + -7x = 3 + 7 Combine like terms: 3 + 7 = 10 -4 + -7x = 10 Solving -4 + -7x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 10 + 4 -7x = 10 + 4 Combine like terms: 10 + 4 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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