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Simplifying 12 + -2x = 6x + -4(x + 5) Reorder the terms: 12 + -2x = 6x + -4(5 + x) 12 + -2x = 6x + (5 * -4 + x * -4) 12 + -2x = 6x + (-20 + -4x) Reorder the terms: 12 + -2x = -20 + 6x + -4x Combine like terms: 6x + -4x = 2x 12 + -2x = -20 + 2x Solving 12 + -2x = -20 + 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. 12 + -2x + -2x = -20 + 2x + -2x Combine like terms: -2x + -2x = -4x 12 + -4x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -4x = -20 + 0 12 + -4x = -20 Add '-12' to each side of the equation. 12 + -12 + -4x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -20 + -12 -4x = -20 + -12 Combine like terms: -20 + -12 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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