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Simplifying 3x + 10 = 4x + 7 Reorder the terms: 10 + 3x = 4x + 7 Reorder the terms: 10 + 3x = 7 + 4x Solving 10 + 3x = 7 + 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. 10 + 3x + -4x = 7 + 4x + -4x Combine like terms: 3x + -4x = -1x 10 + -1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -1x = 7 + 0 10 + -1x = 7 Add '-10' to each side of the equation. 10 + -10 + -1x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 7 + -10 -1x = 7 + -10 Combine like terms: 7 + -10 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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