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Simplifying 6(2x + 4) + -18 = -18 + 4(x + 2) Reorder the terms: 6(4 + 2x) + -18 = -18 + 4(x + 2) (4 * 6 + 2x * 6) + -18 = -18 + 4(x + 2) (24 + 12x) + -18 = -18 + 4(x + 2) Reorder the terms: 24 + -18 + 12x = -18 + 4(x + 2) Combine like terms: 24 + -18 = 6 6 + 12x = -18 + 4(x + 2) Reorder the terms: 6 + 12x = -18 + 4(2 + x) 6 + 12x = -18 + (2 * 4 + x * 4) 6 + 12x = -18 + (8 + 4x) Combine like terms: -18 + 8 = -10 6 + 12x = -10 + 4x Solving 6 + 12x = -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. 6 + 12x + -4x = -10 + 4x + -4x Combine like terms: 12x + -4x = 8x 6 + 8x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 8x = -10 + 0 6 + 8x = -10 Add '-6' to each side of the equation. 6 + -6 + 8x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = -10 + -6 8x = -10 + -6 Combine like terms: -10 + -6 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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