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Simplifying 3x + 3(1 + -5x) = 11 + -8x 3x + (1 * 3 + -5x * 3) = 11 + -8x 3x + (3 + -15x) = 11 + -8x Reorder the terms: 3 + 3x + -15x = 11 + -8x Combine like terms: 3x + -15x = -12x 3 + -12x = 11 + -8x Solving 3 + -12x = 11 + -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 + -12x + 8x = 11 + -8x + 8x Combine like terms: -12x + 8x = -4x 3 + -4x = 11 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + -4x = 11 + 0 3 + -4x = 11 Add '-3' to each side of the equation. 3 + -3 + -4x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 11 + -3 -4x = 11 + -3 Combine like terms: 11 + -3 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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