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Simplifying 4x + 7 = 6 + -24x + 36 Reorder the terms: 7 + 4x = 6 + -24x + 36 Reorder the terms: 7 + 4x = 6 + 36 + -24x Combine like terms: 6 + 36 = 42 7 + 4x = 42 + -24x Solving 7 + 4x = 42 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 7 + 4x + 24x = 42 + -24x + 24x Combine like terms: 4x + 24x = 28x 7 + 28x = 42 + -24x + 24x Combine like terms: -24x + 24x = 0 7 + 28x = 42 + 0 7 + 28x = 42 Add '-7' to each side of the equation. 7 + -7 + 28x = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 28x = 42 + -7 28x = 42 + -7 Combine like terms: 42 + -7 = 35 28x = 35 Divide each side by '28'. x = 1.25 Simplifying x = 1.25
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