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Simplifying 6x + 10 + -2x = -3 + -3x + 12 Reorder the terms: 10 + 6x + -2x = -3 + -3x + 12 Combine like terms: 6x + -2x = 4x 10 + 4x = -3 + -3x + 12 Reorder the terms: 10 + 4x = -3 + 12 + -3x Combine like terms: -3 + 12 = 9 10 + 4x = 9 + -3x Solving 10 + 4x = 9 + -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 + 4x + 3x = 9 + -3x + 3x Combine like terms: 4x + 3x = 7x 10 + 7x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 7x = 9 + 0 10 + 7x = 9 Add '-10' to each side of the equation. 10 + -10 + 7x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 9 + -10 7x = 9 + -10 Combine like terms: 9 + -10 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429
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