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Simplifying 122 = -2x + 4(-3x + 13) Reorder the terms: 122 = -2x + 4(13 + -3x) 122 = -2x + (13 * 4 + -3x * 4) 122 = -2x + (52 + -12x) Reorder the terms: 122 = 52 + -2x + -12x Combine like terms: -2x + -12x = -14x 122 = 52 + -14x Solving 122 = 52 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 122 + 14x = 52 + -14x + 14x Combine like terms: -14x + 14x = 0 122 + 14x = 52 + 0 122 + 14x = 52 Add '-122' to each side of the equation. 122 + -122 + 14x = 52 + -122 Combine like terms: 122 + -122 = 0 0 + 14x = 52 + -122 14x = 52 + -122 Combine like terms: 52 + -122 = -70 14x = -70 Divide each side by '14'. x = -5 Simplifying x = -5
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