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Simplifying 11x + -7 = 4(3x + 4) + -2 Reorder the terms: -7 + 11x = 4(3x + 4) + -2 Reorder the terms: -7 + 11x = 4(4 + 3x) + -2 -7 + 11x = (4 * 4 + 3x * 4) + -2 -7 + 11x = (16 + 12x) + -2 Reorder the terms: -7 + 11x = 16 + -2 + 12x Combine like terms: 16 + -2 = 14 -7 + 11x = 14 + 12x Solving -7 + 11x = 14 + 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. -7 + 11x + -12x = 14 + 12x + -12x Combine like terms: 11x + -12x = -1x -7 + -1x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + -1x = 14 + 0 -7 + -1x = 14 Add '7' to each side of the equation. -7 + 7 + -1x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 14 + 7 -1x = 14 + 7 Combine like terms: 14 + 7 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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