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Simplifying 8x + 13 + -3x + -10 = 12x + -6 Reorder the terms: 13 + -10 + 8x + -3x = 12x + -6 Combine like terms: 13 + -10 = 3 3 + 8x + -3x = 12x + -6 Combine like terms: 8x + -3x = 5x 3 + 5x = 12x + -6 Reorder the terms: 3 + 5x = -6 + 12x Solving 3 + 5x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 5x + -12x = -6 + 12x + -12x Combine like terms: 5x + -12x = -7x 3 + -7x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -7x = -6 + 0 3 + -7x = -6 Add '-3' to each side of the equation. 3 + -3 + -7x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -6 + -3 -7x = -6 + -3 Combine like terms: -6 + -3 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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