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Simplifying 12x + -8x + -7 = 12 + -1(-7 + 8 + -3) Reorder the terms: -7 + 12x + -8x = 12 + -1(-7 + 8 + -3) Combine like terms: 12x + -8x = 4x -7 + 4x = 12 + -1(-7 + 8 + -3) Combine like terms: -7 + 8 = 1 -7 + 4x = 12 + -1(1 + -3) Combine like terms: 1 + -3 = -2 -7 + 4x = 12 + -1(-2) Multiply -1 * -2 -7 + 4x = 12 + 2 Combine like terms: 12 + 2 = 14 -7 + 4x = 14 Solving -7 + 4x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 14 + 7 4x = 14 + 7 Combine like terms: 14 + 7 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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