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Simplifying x + -4 = 6(x + 1) Reorder the terms: -4 + x = 6(x + 1) Reorder the terms: -4 + x = 6(1 + x) -4 + x = (1 * 6 + x * 6) -4 + x = (6 + 6x) Solving -4 + x = 6 + 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. -4 + x + -6x = 6 + 6x + -6x Combine like terms: x + -6x = -5x -4 + -5x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -5x = 6 + 0 -4 + -5x = 6 Add '4' to each side of the equation. -4 + 4 + -5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 6 + 4 -5x = 6 + 4 Combine like terms: 6 + 4 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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