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Simplifying 1 + 3x + -12 = 2x + -12 + -1(-8) Reorder the terms: 1 + -12 + 3x = 2x + -12 + -1(-8) Combine like terms: 1 + -12 = -11 -11 + 3x = 2x + -12 + -1(-8) Multiply -1 * -8 -11 + 3x = 2x + -12 + 8 Reorder the terms: -11 + 3x = -12 + 8 + 2x Combine like terms: -12 + 8 = -4 -11 + 3x = -4 + 2x Solving -11 + 3x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -11 + 3x + -2x = -4 + 2x + -2x Combine like terms: 3x + -2x = 1x -11 + 1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + 1x = -4 + 0 -11 + 1x = -4 Add '11' to each side of the equation. -11 + 11 + 1x = -4 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = -4 + 11 1x = -4 + 11 Combine like terms: -4 + 11 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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