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Simplifying 3x + 7 = -4x + 10 Reorder the terms: 7 + 3x = -4x + 10 Reorder the terms: 7 + 3x = 10 + -4x Solving 7 + 3x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + 3x + 4x = 10 + -4x + 4x Combine like terms: 3x + 4x = 7x 7 + 7x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 7x = 10 + 0 7 + 7x = 10 Add '-7' to each side of the equation. 7 + -7 + 7x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 10 + -7 7x = 10 + -7 Combine like terms: 10 + -7 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286
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