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Simplifying 10 + 3x = 2(3 + 4x) + 6 10 + 3x = (3 * 2 + 4x * 2) + 6 10 + 3x = (6 + 8x) + 6 Reorder the terms: 10 + 3x = 6 + 6 + 8x Combine like terms: 6 + 6 = 12 10 + 3x = 12 + 8x Solving 10 + 3x = 12 + 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. 10 + 3x + -8x = 12 + 8x + -8x Combine like terms: 3x + -8x = -5x 10 + -5x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -5x = 12 + 0 10 + -5x = 12 Add '-10' to each side of the equation. 10 + -10 + -5x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 12 + -10 -5x = 12 + -10 Combine like terms: 12 + -10 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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