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Simplifying 6(3x + -11) + -4(3x + -1) = 8x + -12(4 + -5x) Reorder the terms: 6(-11 + 3x) + -4(3x + -1) = 8x + -12(4 + -5x) (-11 * 6 + 3x * 6) + -4(3x + -1) = 8x + -12(4 + -5x) (-66 + 18x) + -4(3x + -1) = 8x + -12(4 + -5x) Reorder the terms: -66 + 18x + -4(-1 + 3x) = 8x + -12(4 + -5x) -66 + 18x + (-1 * -4 + 3x * -4) = 8x + -12(4 + -5x) -66 + 18x + (4 + -12x) = 8x + -12(4 + -5x) Reorder the terms: -66 + 4 + 18x + -12x = 8x + -12(4 + -5x) Combine like terms: -66 + 4 = -62 -62 + 18x + -12x = 8x + -12(4 + -5x) Combine like terms: 18x + -12x = 6x -62 + 6x = 8x + -12(4 + -5x) -62 + 6x = 8x + (4 * -12 + -5x * -12) -62 + 6x = 8x + (-48 + 60x) Reorder the terms: -62 + 6x = -48 + 8x + 60x Combine like terms: 8x + 60x = 68x -62 + 6x = -48 + 68x Solving -62 + 6x = -48 + 68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68x' to each side of the equation. -62 + 6x + -68x = -48 + 68x + -68x Combine like terms: 6x + -68x = -62x -62 + -62x = -48 + 68x + -68x Combine like terms: 68x + -68x = 0 -62 + -62x = -48 + 0 -62 + -62x = -48 Add '62' to each side of the equation. -62 + 62 + -62x = -48 + 62 Combine like terms: -62 + 62 = 0 0 + -62x = -48 + 62 -62x = -48 + 62 Combine like terms: -48 + 62 = 14 -62x = 14 Divide each side by '-62'. x = -0.2258064516 Simplifying x = -0.2258064516
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