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Simplifying 2x + 4(-3x + 13) = 122 Reorder the terms: 2x + 4(13 + -3x) = 122 2x + (13 * 4 + -3x * 4) = 122 2x + (52 + -12x) = 122 Reorder the terms: 52 + 2x + -12x = 122 Combine like terms: 2x + -12x = -10x 52 + -10x = 122 Solving 52 + -10x = 122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -10x = 122 + -52 Combine like terms: 52 + -52 = 0 0 + -10x = 122 + -52 -10x = 122 + -52 Combine like terms: 122 + -52 = 70 -10x = 70 Divide each side by '-10'. x = -7 Simplifying x = -7
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