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Simplifying 3(5x + -1) + -54x = 6 + (8x + 3) Reorder the terms: 3(-1 + 5x) + -54x = 6 + (8x + 3) (-1 * 3 + 5x * 3) + -54x = 6 + (8x + 3) (-3 + 15x) + -54x = 6 + (8x + 3) Combine like terms: 15x + -54x = -39x -3 + -39x = 6 + (8x + 3) Reorder the terms: -3 + -39x = 6 + (3 + 8x) Remove parenthesis around (3 + 8x) -3 + -39x = 6 + 3 + 8x Combine like terms: 6 + 3 = 9 -3 + -39x = 9 + 8x Solving -3 + -39x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + -39x + -8x = 9 + 8x + -8x Combine like terms: -39x + -8x = -47x -3 + -47x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -47x = 9 + 0 -3 + -47x = 9 Add '3' to each side of the equation. -3 + 3 + -47x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -47x = 9 + 3 -47x = 9 + 3 Combine like terms: 9 + 3 = 12 -47x = 12 Divide each side by '-47'. x = -0.2553191489 Simplifying x = -0.2553191489
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