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Simplifying 6(x + 3) + 2 = 2x + -4 Reorder the terms: 6(3 + x) + 2 = 2x + -4 (3 * 6 + x * 6) + 2 = 2x + -4 (18 + 6x) + 2 = 2x + -4 Reorder the terms: 18 + 2 + 6x = 2x + -4 Combine like terms: 18 + 2 = 20 20 + 6x = 2x + -4 Reorder the terms: 20 + 6x = -4 + 2x Solving 20 + 6x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + 6x + -2x = -4 + 2x + -2x Combine like terms: 6x + -2x = 4x 20 + 4x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 4x = -4 + 0 20 + 4x = -4 Add '-20' to each side of the equation. 20 + -20 + 4x = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = -4 + -20 4x = -4 + -20 Combine like terms: -4 + -20 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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