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Simplifying 7(2x + -3) + -2 = 2x + 7 Reorder the terms: 7(-3 + 2x) + -2 = 2x + 7 (-3 * 7 + 2x * 7) + -2 = 2x + 7 (-21 + 14x) + -2 = 2x + 7 Reorder the terms: -21 + -2 + 14x = 2x + 7 Combine like terms: -21 + -2 = -23 -23 + 14x = 2x + 7 Reorder the terms: -23 + 14x = 7 + 2x Solving -23 + 14x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -23 + 14x + -2x = 7 + 2x + -2x Combine like terms: 14x + -2x = 12x -23 + 12x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + 12x = 7 + 0 -23 + 12x = 7 Add '23' to each side of the equation. -23 + 23 + 12x = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 12x = 7 + 23 12x = 7 + 23 Combine like terms: 7 + 23 = 30 12x = 30 Divide each side by '12'. x = 2.5 Simplifying x = 2.5
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