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Simplifying 2(12 + -1x) + 2(3x + 7) = 90 (12 * 2 + -1x * 2) + 2(3x + 7) = 90 (24 + -2x) + 2(3x + 7) = 90 Reorder the terms: 24 + -2x + 2(7 + 3x) = 90 24 + -2x + (7 * 2 + 3x * 2) = 90 24 + -2x + (14 + 6x) = 90 Reorder the terms: 24 + 14 + -2x + 6x = 90 Combine like terms: 24 + 14 = 38 38 + -2x + 6x = 90 Combine like terms: -2x + 6x = 4x 38 + 4x = 90 Solving 38 + 4x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 4x = 90 + -38 Combine like terms: 38 + -38 = 0 0 + 4x = 90 + -38 4x = 90 + -38 Combine like terms: 90 + -38 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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