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Simplifying 1 + 4x = 6x + -7 Reorder the terms: 1 + 4x = -7 + 6x Solving 1 + 4x = -7 + 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 = -7 + 6x + -6x Combine like terms: 4x + -6x = -2x 1 + -2x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -2x = -7 + 0 1 + -2x = -7 Add '-1' to each side of the equation. 1 + -1 + -2x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -7 + -1 -2x = -7 + -1 Combine like terms: -7 + -1 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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