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Simplifying -7x + 38 = -3(x + -2) Reorder the terms: 38 + -7x = -3(x + -2) Reorder the terms: 38 + -7x = -3(-2 + x) 38 + -7x = (-2 * -3 + x * -3) 38 + -7x = (6 + -3x) Solving 38 + -7x = 6 + -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. 38 + -7x + 3x = 6 + -3x + 3x Combine like terms: -7x + 3x = -4x 38 + -4x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 38 + -4x = 6 + 0 38 + -4x = 6 Add '-38' to each side of the equation. 38 + -38 + -4x = 6 + -38 Combine like terms: 38 + -38 = 0 0 + -4x = 6 + -38 -4x = 6 + -38 Combine like terms: 6 + -38 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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