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Simplifying -122 = -2x + -4(-6x + 3) Reorder the terms: -122 = -2x + -4(3 + -6x) -122 = -2x + (3 * -4 + -6x * -4) -122 = -2x + (-12 + 24x) Reorder the terms: -122 = -12 + -2x + 24x Combine like terms: -2x + 24x = 22x -122 = -12 + 22x Solving -122 = -12 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -122 + -22x = -12 + 22x + -22x Combine like terms: 22x + -22x = 0 -122 + -22x = -12 + 0 -122 + -22x = -12 Add '122' to each side of the equation. -122 + 122 + -22x = -12 + 122 Combine like terms: -122 + 122 = 0 0 + -22x = -12 + 122 -22x = -12 + 122 Combine like terms: -12 + 122 = 110 -22x = 110 Divide each side by '-22'. x = -5 Simplifying x = -5
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