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Simplifying 1x + 2 = 4x + 7 Reorder the terms: 2 + 1x = 4x + 7 Reorder the terms: 2 + 1x = 7 + 4x Solving 2 + 1x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 1x + -4x = 7 + 4x + -4x Combine like terms: 1x + -4x = -3x 2 + -3x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -3x = 7 + 0 2 + -3x = 7 Add '-2' to each side of the equation. 2 + -2 + -3x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 7 + -2 -3x = 7 + -2 Combine like terms: 7 + -2 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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