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Simplifying 2x + -6 = 4(3x + 11) Reorder the terms: -6 + 2x = 4(3x + 11) Reorder the terms: -6 + 2x = 4(11 + 3x) -6 + 2x = (11 * 4 + 3x * 4) -6 + 2x = (44 + 12x) Solving -6 + 2x = 44 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 2x + -12x = 44 + 12x + -12x Combine like terms: 2x + -12x = -10x -6 + -10x = 44 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -10x = 44 + 0 -6 + -10x = 44 Add '6' to each side of the equation. -6 + 6 + -10x = 44 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 44 + 6 -10x = 44 + 6 Combine like terms: 44 + 6 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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