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Simplifying 7x + 10 = 3x + -5 Reorder the terms: 10 + 7x = 3x + -5 Reorder the terms: 10 + 7x = -5 + 3x Solving 10 + 7x = -5 + 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. 10 + 7x + -3x = -5 + 3x + -3x Combine like terms: 7x + -3x = 4x 10 + 4x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 4x = -5 + 0 10 + 4x = -5 Add '-10' to each side of the equation. 10 + -10 + 4x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = -5 + -10 4x = -5 + -10 Combine like terms: -5 + -10 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75
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