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Simplifying 3(2x + 2) = 4(x + -5) + 18 Reorder the terms: 3(2 + 2x) = 4(x + -5) + 18 (2 * 3 + 2x * 3) = 4(x + -5) + 18 (6 + 6x) = 4(x + -5) + 18 Reorder the terms: 6 + 6x = 4(-5 + x) + 18 6 + 6x = (-5 * 4 + x * 4) + 18 6 + 6x = (-20 + 4x) + 18 Reorder the terms: 6 + 6x = -20 + 18 + 4x Combine like terms: -20 + 18 = -2 6 + 6x = -2 + 4x Solving 6 + 6x = -2 + 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 + 6x + -4x = -2 + 4x + -4x Combine like terms: 6x + -4x = 2x 6 + 2x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 2x = -2 + 0 6 + 2x = -2 Add '-6' to each side of the equation. 6 + -6 + 2x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -2 + -6 2x = -2 + -6 Combine like terms: -2 + -6 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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