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Simplifying 7(3x + -2) + 18x + 7 = 12x + 7 Reorder the terms: 7(-2 + 3x) + 18x + 7 = 12x + 7 (-2 * 7 + 3x * 7) + 18x + 7 = 12x + 7 (-14 + 21x) + 18x + 7 = 12x + 7 Reorder the terms: -14 + 7 + 21x + 18x = 12x + 7 Combine like terms: -14 + 7 = -7 -7 + 21x + 18x = 12x + 7 Combine like terms: 21x + 18x = 39x -7 + 39x = 12x + 7 Reorder the terms: -7 + 39x = 7 + 12x Solving -7 + 39x = 7 + 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 + 39x + -12x = 7 + 12x + -12x Combine like terms: 39x + -12x = 27x -7 + 27x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + 27x = 7 + 0 -7 + 27x = 7 Add '7' to each side of the equation. -7 + 7 + 27x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 27x = 7 + 7 27x = 7 + 7 Combine like terms: 7 + 7 = 14 27x = 14 Divide each side by '27'. x = 0.5185185185 Simplifying x = 0.5185185185
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