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Simplifying 74 = 2(4x + -6) + 2(5x + 7) Reorder the terms: 74 = 2(-6 + 4x) + 2(5x + 7) 74 = (-6 * 2 + 4x * 2) + 2(5x + 7) 74 = (-12 + 8x) + 2(5x + 7) Reorder the terms: 74 = -12 + 8x + 2(7 + 5x) 74 = -12 + 8x + (7 * 2 + 5x * 2) 74 = -12 + 8x + (14 + 10x) Reorder the terms: 74 = -12 + 14 + 8x + 10x Combine like terms: -12 + 14 = 2 74 = 2 + 8x + 10x Combine like terms: 8x + 10x = 18x 74 = 2 + 18x Solving 74 = 2 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 74 + -18x = 2 + 18x + -18x Combine like terms: 18x + -18x = 0 74 + -18x = 2 + 0 74 + -18x = 2 Add '-74' to each side of the equation. 74 + -74 + -18x = 2 + -74 Combine like terms: 74 + -74 = 0 0 + -18x = 2 + -74 -18x = 2 + -74 Combine like terms: 2 + -74 = -72 -18x = -72 Divide each side by '-18'. x = 4 Simplifying x = 4
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