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Simplifying 2(47 + -3x) + -1x = 3(3x + 24) (47 * 2 + -3x * 2) + -1x = 3(3x + 24) (94 + -6x) + -1x = 3(3x + 24) Combine like terms: -6x + -1x = -7x 94 + -7x = 3(3x + 24) Reorder the terms: 94 + -7x = 3(24 + 3x) 94 + -7x = (24 * 3 + 3x * 3) 94 + -7x = (72 + 9x) Solving 94 + -7x = 72 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 94 + -7x + -9x = 72 + 9x + -9x Combine like terms: -7x + -9x = -16x 94 + -16x = 72 + 9x + -9x Combine like terms: 9x + -9x = 0 94 + -16x = 72 + 0 94 + -16x = 72 Add '-94' to each side of the equation. 94 + -94 + -16x = 72 + -94 Combine like terms: 94 + -94 = 0 0 + -16x = 72 + -94 -16x = 72 + -94 Combine like terms: 72 + -94 = -22 -16x = -22 Divide each side by '-16'. x = 1.375 Simplifying x = 1.375
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