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Simplifying 3(x + -2) + -2 = -2(-7x + 8) + -5x Reorder the terms: 3(-2 + x) + -2 = -2(-7x + 8) + -5x (-2 * 3 + x * 3) + -2 = -2(-7x + 8) + -5x (-6 + 3x) + -2 = -2(-7x + 8) + -5x Reorder the terms: -6 + -2 + 3x = -2(-7x + 8) + -5x Combine like terms: -6 + -2 = -8 -8 + 3x = -2(-7x + 8) + -5x Reorder the terms: -8 + 3x = -2(8 + -7x) + -5x -8 + 3x = (8 * -2 + -7x * -2) + -5x -8 + 3x = (-16 + 14x) + -5x Combine like terms: 14x + -5x = 9x -8 + 3x = -16 + 9x Solving -8 + 3x = -16 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + 3x + -9x = -16 + 9x + -9x Combine like terms: 3x + -9x = -6x -8 + -6x = -16 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -6x = -16 + 0 -8 + -6x = -16 Add '8' to each side of the equation. -8 + 8 + -6x = -16 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = -16 + 8 -6x = -16 + 8 Combine like terms: -16 + 8 = -8 -6x = -8 Divide each side by '-6'. x = 1.333333333 Simplifying x = 1.333333333
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