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Simplifying 38 + -5x = 2(x + -2) Reorder the terms: 38 + -5x = 2(-2 + x) 38 + -5x = (-2 * 2 + x * 2) 38 + -5x = (-4 + 2x) Solving 38 + -5x = -4 + 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. 38 + -5x + -2x = -4 + 2x + -2x Combine like terms: -5x + -2x = -7x 38 + -7x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 38 + -7x = -4 + 0 38 + -7x = -4 Add '-38' to each side of the equation. 38 + -38 + -7x = -4 + -38 Combine like terms: 38 + -38 = 0 0 + -7x = -4 + -38 -7x = -4 + -38 Combine like terms: -4 + -38 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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