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Simplifying 4x + 23 = 7x + -7 Reorder the terms: 23 + 4x = 7x + -7 Reorder the terms: 23 + 4x = -7 + 7x Solving 23 + 4x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 23 + 4x + -7x = -7 + 7x + -7x Combine like terms: 4x + -7x = -3x 23 + -3x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 23 + -3x = -7 + 0 23 + -3x = -7 Add '-23' to each side of the equation. 23 + -23 + -3x = -7 + -23 Combine like terms: 23 + -23 = 0 0 + -3x = -7 + -23 -3x = -7 + -23 Combine like terms: -7 + -23 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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