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Simplifying 10(x + -1) = 6(x + 1) Reorder the terms: 10(-1 + x) = 6(x + 1) (-1 * 10 + x * 10) = 6(x + 1) (-10 + 10x) = 6(x + 1) Reorder the terms: -10 + 10x = 6(1 + x) -10 + 10x = (1 * 6 + x * 6) -10 + 10x = (6 + 6x) Solving -10 + 10x = 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. -10 + 10x + -6x = 6 + 6x + -6x Combine like terms: 10x + -6x = 4x -10 + 4x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 4x = 6 + 0 -10 + 4x = 6 Add '10' to each side of the equation. -10 + 10 + 4x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 6 + 10 4x = 6 + 10 Combine like terms: 6 + 10 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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