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Simplifying -3(6 + -5x) + 2 = 4x + -8(x + 2) (6 * -3 + -5x * -3) + 2 = 4x + -8(x + 2) (-18 + 15x) + 2 = 4x + -8(x + 2) Reorder the terms: -18 + 2 + 15x = 4x + -8(x + 2) Combine like terms: -18 + 2 = -16 -16 + 15x = 4x + -8(x + 2) Reorder the terms: -16 + 15x = 4x + -8(2 + x) -16 + 15x = 4x + (2 * -8 + x * -8) -16 + 15x = 4x + (-16 + -8x) Reorder the terms: -16 + 15x = -16 + 4x + -8x Combine like terms: 4x + -8x = -4x -16 + 15x = -16 + -4x Add '16' to each side of the equation. -16 + 16 + 15x = -16 + 16 + -4x Combine like terms: -16 + 16 = 0 0 + 15x = -16 + 16 + -4x 15x = -16 + 16 + -4x Combine like terms: -16 + 16 = 0 15x = 0 + -4x 15x = -4x Solving 15x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15x + 4x = -4x + 4x Combine like terms: 15x + 4x = 19x 19x = -4x + 4x Combine like terms: -4x + 4x = 0 19x = 0 Divide each side by '19'. x = 0 Simplifying x = 0
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