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Simplifying 4x + 6(-3x + 4) = 122 Reorder the terms: 4x + 6(4 + -3x) = 122 4x + (4 * 6 + -3x * 6) = 122 4x + (24 + -18x) = 122 Reorder the terms: 24 + 4x + -18x = 122 Combine like terms: 4x + -18x = -14x 24 + -14x = 122 Solving 24 + -14x = 122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -14x = 122 + -24 Combine like terms: 24 + -24 = 0 0 + -14x = 122 + -24 -14x = 122 + -24 Combine like terms: 122 + -24 = 98 -14x = 98 Divide each side by '-14'. x = -7 Simplifying x = -7
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