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Simplifying -3(1 + -5x) + 3(-8x + -2) = -4x + -8x (1 * -3 + -5x * -3) + 3(-8x + -2) = -4x + -8x (-3 + 15x) + 3(-8x + -2) = -4x + -8x Reorder the terms: -3 + 15x + 3(-2 + -8x) = -4x + -8x -3 + 15x + (-2 * 3 + -8x * 3) = -4x + -8x -3 + 15x + (-6 + -24x) = -4x + -8x Reorder the terms: -3 + -6 + 15x + -24x = -4x + -8x Combine like terms: -3 + -6 = -9 -9 + 15x + -24x = -4x + -8x Combine like terms: 15x + -24x = -9x -9 + -9x = -4x + -8x Combine like terms: -4x + -8x = -12x -9 + -9x = -12x Solving -9 + -9x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -9 + -9x + 12x = -12x + 12x Combine like terms: -9x + 12x = 3x -9 + 3x = -12x + 12x Combine like terms: -12x + 12x = 0 -9 + 3x = 0 Add '9' to each side of the equation. -9 + 9 + 3x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 0 + 9 3x = 0 + 9 Combine like terms: 0 + 9 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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