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Simplifying -3(5x + 3) = 41 + -4(6x + 1) Reorder the terms: -3(3 + 5x) = 41 + -4(6x + 1) (3 * -3 + 5x * -3) = 41 + -4(6x + 1) (-9 + -15x) = 41 + -4(6x + 1) Reorder the terms: -9 + -15x = 41 + -4(1 + 6x) -9 + -15x = 41 + (1 * -4 + 6x * -4) -9 + -15x = 41 + (-4 + -24x) Combine like terms: 41 + -4 = 37 -9 + -15x = 37 + -24x Solving -9 + -15x = 37 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -9 + -15x + 24x = 37 + -24x + 24x Combine like terms: -15x + 24x = 9x -9 + 9x = 37 + -24x + 24x Combine like terms: -24x + 24x = 0 -9 + 9x = 37 + 0 -9 + 9x = 37 Add '9' to each side of the equation. -9 + 9 + 9x = 37 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = 37 + 9 9x = 37 + 9 Combine like terms: 37 + 9 = 46 9x = 46 Divide each side by '9'. x = 5.111111111 Simplifying x = 5.111111111
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