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Simplifying 7x + 38 = 6(-2 + -3x) Reorder the terms: 38 + 7x = 6(-2 + -3x) 38 + 7x = (-2 * 6 + -3x * 6) 38 + 7x = (-12 + -18x) Solving 38 + 7x = -12 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 38 + 7x + 18x = -12 + -18x + 18x Combine like terms: 7x + 18x = 25x 38 + 25x = -12 + -18x + 18x Combine like terms: -18x + 18x = 0 38 + 25x = -12 + 0 38 + 25x = -12 Add '-38' to each side of the equation. 38 + -38 + 25x = -12 + -38 Combine like terms: 38 + -38 = 0 0 + 25x = -12 + -38 25x = -12 + -38 Combine like terms: -12 + -38 = -50 25x = -50 Divide each side by '25'. x = -2 Simplifying x = -2
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