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Simplifying 2x + -7(2x + 3) = 5(2x + 1) Reorder the terms: 2x + -7(3 + 2x) = 5(2x + 1) 2x + (3 * -7 + 2x * -7) = 5(2x + 1) 2x + (-21 + -14x) = 5(2x + 1) Reorder the terms: -21 + 2x + -14x = 5(2x + 1) Combine like terms: 2x + -14x = -12x -21 + -12x = 5(2x + 1) Reorder the terms: -21 + -12x = 5(1 + 2x) -21 + -12x = (1 * 5 + 2x * 5) -21 + -12x = (5 + 10x) Solving -21 + -12x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -21 + -12x + -10x = 5 + 10x + -10x Combine like terms: -12x + -10x = -22x -21 + -22x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -21 + -22x = 5 + 0 -21 + -22x = 5 Add '21' to each side of the equation. -21 + 21 + -22x = 5 + 21 Combine like terms: -21 + 21 = 0 0 + -22x = 5 + 21 -22x = 5 + 21 Combine like terms: 5 + 21 = 26 -22x = 26 Divide each side by '-22'. x = -1.181818182 Simplifying x = -1.181818182
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