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Simplifying 4x + 12 = 40 + -9x Reorder the terms: 12 + 4x = 40 + -9x Solving 12 + 4x = 40 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 12 + 4x + 9x = 40 + -9x + 9x Combine like terms: 4x + 9x = 13x 12 + 13x = 40 + -9x + 9x Combine like terms: -9x + 9x = 0 12 + 13x = 40 + 0 12 + 13x = 40 Add '-12' to each side of the equation. 12 + -12 + 13x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = 40 + -12 13x = 40 + -12 Combine like terms: 40 + -12 = 28 13x = 28 Divide each side by '13'. x = 2.153846154 Simplifying x = 2.153846154
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