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Simplifying 3(7x + -29) = 3 + -4(x + 8) Reorder the terms: 3(-29 + 7x) = 3 + -4(x + 8) (-29 * 3 + 7x * 3) = 3 + -4(x + 8) (-87 + 21x) = 3 + -4(x + 8) Reorder the terms: -87 + 21x = 3 + -4(8 + x) -87 + 21x = 3 + (8 * -4 + x * -4) -87 + 21x = 3 + (-32 + -4x) Combine like terms: 3 + -32 = -29 -87 + 21x = -29 + -4x Solving -87 + 21x = -29 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -87 + 21x + 4x = -29 + -4x + 4x Combine like terms: 21x + 4x = 25x -87 + 25x = -29 + -4x + 4x Combine like terms: -4x + 4x = 0 -87 + 25x = -29 + 0 -87 + 25x = -29 Add '87' to each side of the equation. -87 + 87 + 25x = -29 + 87 Combine like terms: -87 + 87 = 0 0 + 25x = -29 + 87 25x = -29 + 87 Combine like terms: -29 + 87 = 58 25x = 58 Divide each side by '25'. x = 2.32 Simplifying x = 2.32
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