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Simplifying 2(3x + 6) + -4 = 4x + -10 Reorder the terms: 2(6 + 3x) + -4 = 4x + -10 (6 * 2 + 3x * 2) + -4 = 4x + -10 (12 + 6x) + -4 = 4x + -10 Reorder the terms: 12 + -4 + 6x = 4x + -10 Combine like terms: 12 + -4 = 8 8 + 6x = 4x + -10 Reorder the terms: 8 + 6x = -10 + 4x Solving 8 + 6x = -10 + 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. 8 + 6x + -4x = -10 + 4x + -4x Combine like terms: 6x + -4x = 2x 8 + 2x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 2x = -10 + 0 8 + 2x = -10 Add '-8' to each side of the equation. 8 + -8 + 2x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -10 + -8 2x = -10 + -8 Combine like terms: -10 + -8 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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