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Simplifying 3(2x + 4) * 5 = 29(7x + -12) Reorder the terms: 3(4 + 2x) * 5 = 29(7x + -12) Reorder the terms for easier multiplication: 3 * 5(4 + 2x) = 29(7x + -12) Multiply 3 * 5 15(4 + 2x) = 29(7x + -12) (4 * 15 + 2x * 15) = 29(7x + -12) (60 + 30x) = 29(7x + -12) Reorder the terms: 60 + 30x = 29(-12 + 7x) 60 + 30x = (-12 * 29 + 7x * 29) 60 + 30x = (-348 + 203x) Solving 60 + 30x = -348 + 203x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-203x' to each side of the equation. 60 + 30x + -203x = -348 + 203x + -203x Combine like terms: 30x + -203x = -173x 60 + -173x = -348 + 203x + -203x Combine like terms: 203x + -203x = 0 60 + -173x = -348 + 0 60 + -173x = -348 Add '-60' to each side of the equation. 60 + -60 + -173x = -348 + -60 Combine like terms: 60 + -60 = 0 0 + -173x = -348 + -60 -173x = -348 + -60 Combine like terms: -348 + -60 = -408 -173x = -408 Divide each side by '-173'. x = 2.358381503 Simplifying x = 2.358381503
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