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Simplifying 17x + -10 + 12x + -5 = -11 + 6x + 15x + -7 Reorder the terms: -10 + -5 + 17x + 12x = -11 + 6x + 15x + -7 Combine like terms: -10 + -5 = -15 -15 + 17x + 12x = -11 + 6x + 15x + -7 Combine like terms: 17x + 12x = 29x -15 + 29x = -11 + 6x + 15x + -7 Reorder the terms: -15 + 29x = -11 + -7 + 6x + 15x Combine like terms: -11 + -7 = -18 -15 + 29x = -18 + 6x + 15x Combine like terms: 6x + 15x = 21x -15 + 29x = -18 + 21x Solving -15 + 29x = -18 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -15 + 29x + -21x = -18 + 21x + -21x Combine like terms: 29x + -21x = 8x -15 + 8x = -18 + 21x + -21x Combine like terms: 21x + -21x = 0 -15 + 8x = -18 + 0 -15 + 8x = -18 Add '15' to each side of the equation. -15 + 15 + 8x = -18 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = -18 + 15 8x = -18 + 15 Combine like terms: -18 + 15 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375
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