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Simplifying 5x + 7 = -38 + -10x Reorder the terms: 7 + 5x = -38 + -10x Solving 7 + 5x = -38 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 7 + 5x + 10x = -38 + -10x + 10x Combine like terms: 5x + 10x = 15x 7 + 15x = -38 + -10x + 10x Combine like terms: -10x + 10x = 0 7 + 15x = -38 + 0 7 + 15x = -38 Add '-7' to each side of the equation. 7 + -7 + 15x = -38 + -7 Combine like terms: 7 + -7 = 0 0 + 15x = -38 + -7 15x = -38 + -7 Combine like terms: -38 + -7 = -45 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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