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Simplifying 4(x + -3) + -2 = 23x + -242 Reorder the terms: 4(-3 + x) + -2 = 23x + -242 (-3 * 4 + x * 4) + -2 = 23x + -242 (-12 + 4x) + -2 = 23x + -242 Reorder the terms: -12 + -2 + 4x = 23x + -242 Combine like terms: -12 + -2 = -14 -14 + 4x = 23x + -242 Reorder the terms: -14 + 4x = -242 + 23x Solving -14 + 4x = -242 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -14 + 4x + -23x = -242 + 23x + -23x Combine like terms: 4x + -23x = -19x -14 + -19x = -242 + 23x + -23x Combine like terms: 23x + -23x = 0 -14 + -19x = -242 + 0 -14 + -19x = -242 Add '14' to each side of the equation. -14 + 14 + -19x = -242 + 14 Combine like terms: -14 + 14 = 0 0 + -19x = -242 + 14 -19x = -242 + 14 Combine like terms: -242 + 14 = -228 -19x = -228 Divide each side by '-19'. x = 12 Simplifying x = 12
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