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Simplifying 2(2x + -13) = 3x + -7 Reorder the terms: 2(-13 + 2x) = 3x + -7 (-13 * 2 + 2x * 2) = 3x + -7 (-26 + 4x) = 3x + -7 Reorder the terms: -26 + 4x = -7 + 3x Solving -26 + 4x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -26 + 4x + -3x = -7 + 3x + -3x Combine like terms: 4x + -3x = 1x -26 + 1x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -26 + 1x = -7 + 0 -26 + 1x = -7 Add '26' to each side of the equation. -26 + 26 + 1x = -7 + 26 Combine like terms: -26 + 26 = 0 0 + 1x = -7 + 26 1x = -7 + 26 Combine like terms: -7 + 26 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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