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Simplifying 1 + 4x = 7x + -1x + 3 Reorder the terms: 1 + 4x = 3 + 7x + -1x Combine like terms: 7x + -1x = 6x 1 + 4x = 3 + 6x Solving 1 + 4x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 4x + -6x = 3 + 6x + -6x Combine like terms: 4x + -6x = -2x 1 + -2x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -2x = 3 + 0 1 + -2x = 3 Add '-1' to each side of the equation. 1 + -1 + -2x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 3 + -1 -2x = 3 + -1 Combine like terms: 3 + -1 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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