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Simplifying 4x + 12 = (2x + -5) + (2x + -5) + 2x Reorder the terms: 12 + 4x = (2x + -5) + (2x + -5) + 2x Reorder the terms: 12 + 4x = (-5 + 2x) + (2x + -5) + 2x Remove parenthesis around (-5 + 2x) 12 + 4x = -5 + 2x + (2x + -5) + 2x Reorder the terms: 12 + 4x = -5 + 2x + (-5 + 2x) + 2x Remove parenthesis around (-5 + 2x) 12 + 4x = -5 + 2x + -5 + 2x + 2x Reorder the terms: 12 + 4x = -5 + -5 + 2x + 2x + 2x Combine like terms: -5 + -5 = -10 12 + 4x = -10 + 2x + 2x + 2x Combine like terms: 2x + 2x = 4x 12 + 4x = -10 + 4x + 2x Combine like terms: 4x + 2x = 6x 12 + 4x = -10 + 6x Solving 12 + 4x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 4x + -6x = -10 + 6x + -6x Combine like terms: 4x + -6x = -2x 12 + -2x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -2x = -10 + 0 12 + -2x = -10 Add '-12' to each side of the equation. 12 + -12 + -2x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -10 + -12 -2x = -10 + -12 Combine like terms: -10 + -12 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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