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Simplifying 8x + 9x + 10 = 7x + -4x + -3 Reorder the terms: 10 + 8x + 9x = 7x + -4x + -3 Combine like terms: 8x + 9x = 17x 10 + 17x = 7x + -4x + -3 Reorder the terms: 10 + 17x = -3 + 7x + -4x Combine like terms: 7x + -4x = 3x 10 + 17x = -3 + 3x Solving 10 + 17x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 17x + -3x = -3 + 3x + -3x Combine like terms: 17x + -3x = 14x 10 + 14x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 14x = -3 + 0 10 + 14x = -3 Add '-10' to each side of the equation. 10 + -10 + 14x = -3 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = -3 + -10 14x = -3 + -10 Combine like terms: -3 + -10 = -13 14x = -13 Divide each side by '14'. x = -0.9285714286 Simplifying x = -0.9285714286
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