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Simplifying 4x + 5 + 3x + -12 = x + 40 Reorder the terms: 5 + -12 + 4x + 3x = x + 40 Combine like terms: 5 + -12 = -7 -7 + 4x + 3x = x + 40 Combine like terms: 4x + 3x = 7x -7 + 7x = x + 40 Reorder the terms: -7 + 7x = 40 + x Solving -7 + 7x = 40 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 7x + -1x = 40 + x + -1x Combine like terms: 7x + -1x = 6x -7 + 6x = 40 + x + -1x Combine like terms: x + -1x = 0 -7 + 6x = 40 + 0 -7 + 6x = 40 Add '7' to each side of the equation. -7 + 7 + 6x = 40 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 40 + 7 6x = 40 + 7 Combine like terms: 40 + 7 = 47 6x = 47 Divide each side by '6'. x = 7.833333333 Simplifying x = 7.833333333
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