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Simplifying 4x + 7 = 10x + 31 Reorder the terms: 7 + 4x = 10x + 31 Reorder the terms: 7 + 4x = 31 + 10x Solving 7 + 4x = 31 + 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 + 4x + -10x = 31 + 10x + -10x Combine like terms: 4x + -10x = -6x 7 + -6x = 31 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + -6x = 31 + 0 7 + -6x = 31 Add '-7' to each side of the equation. 7 + -7 + -6x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 31 + -7 -6x = 31 + -7 Combine like terms: 31 + -7 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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