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Simplifying -2(x + 3) + -5x = 12x + 17 + -4x Reorder the terms: -2(3 + x) + -5x = 12x + 17 + -4x (3 * -2 + x * -2) + -5x = 12x + 17 + -4x (-6 + -2x) + -5x = 12x + 17 + -4x Combine like terms: -2x + -5x = -7x -6 + -7x = 12x + 17 + -4x Reorder the terms: -6 + -7x = 17 + 12x + -4x Combine like terms: 12x + -4x = 8x -6 + -7x = 17 + 8x Solving -6 + -7x = 17 + 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. -6 + -7x + -8x = 17 + 8x + -8x Combine like terms: -7x + -8x = -15x -6 + -15x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -15x = 17 + 0 -6 + -15x = 17 Add '6' to each side of the equation. -6 + 6 + -15x = 17 + 6 Combine like terms: -6 + 6 = 0 0 + -15x = 17 + 6 -15x = 17 + 6 Combine like terms: 17 + 6 = 23 -15x = 23 Divide each side by '-15'. x = -1.533333333 Simplifying x = -1.533333333
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