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Simplifying 74 = 2x + 2(3x + -7) Reorder the terms: 74 = 2x + 2(-7 + 3x) 74 = 2x + (-7 * 2 + 3x * 2) 74 = 2x + (-14 + 6x) Reorder the terms: 74 = -14 + 2x + 6x Combine like terms: 2x + 6x = 8x 74 = -14 + 8x Solving 74 = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 74 + -8x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 74 + -8x = -14 + 0 74 + -8x = -14 Add '-74' to each side of the equation. 74 + -74 + -8x = -14 + -74 Combine like terms: 74 + -74 = 0 0 + -8x = -14 + -74 -8x = -14 + -74 Combine like terms: -14 + -74 = -88 -8x = -88 Divide each side by '-8'. x = 11 Simplifying x = 11
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