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Simplifying 3(x + 2) + -6x = 4(x + 8) Reorder the terms: 3(2 + x) + -6x = 4(x + 8) (2 * 3 + x * 3) + -6x = 4(x + 8) (6 + 3x) + -6x = 4(x + 8) Combine like terms: 3x + -6x = -3x 6 + -3x = 4(x + 8) Reorder the terms: 6 + -3x = 4(8 + x) 6 + -3x = (8 * 4 + x * 4) 6 + -3x = (32 + 4x) Solving 6 + -3x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -3x + -4x = 32 + 4x + -4x Combine like terms: -3x + -4x = -7x 6 + -7x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -7x = 32 + 0 6 + -7x = 32 Add '-6' to each side of the equation. 6 + -6 + -7x = 32 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 32 + -6 -7x = 32 + -6 Combine like terms: 32 + -6 = 26 -7x = 26 Divide each side by '-7'. x = -3.714285714 Simplifying x = -3.714285714
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