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Simplifying 4x + 12 = 2(4x + 11) Reorder the terms: 12 + 4x = 2(4x + 11) Reorder the terms: 12 + 4x = 2(11 + 4x) 12 + 4x = (11 * 2 + 4x * 2) 12 + 4x = (22 + 8x) Solving 12 + 4x = 22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 4x + -8x = 22 + 8x + -8x Combine like terms: 4x + -8x = -4x 12 + -4x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -4x = 22 + 0 12 + -4x = 22 Add '-12' to each side of the equation. 12 + -12 + -4x = 22 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 22 + -12 -4x = 22 + -12 Combine like terms: 22 + -12 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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