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Simplifying 4(x + 1) = 10 + -1(2x + 6) Reorder the terms: 4(1 + x) = 10 + -1(2x + 6) (1 * 4 + x * 4) = 10 + -1(2x + 6) (4 + 4x) = 10 + -1(2x + 6) Reorder the terms: 4 + 4x = 10 + -1(6 + 2x) 4 + 4x = 10 + (6 * -1 + 2x * -1) 4 + 4x = 10 + (-6 + -2x) Combine like terms: 10 + -6 = 4 4 + 4x = 4 + -2x Add '-4' to each side of the equation. 4 + -4 + 4x = 4 + -4 + -2x Combine like terms: 4 + -4 = 0 0 + 4x = 4 + -4 + -2x 4x = 4 + -4 + -2x Combine like terms: 4 + -4 = 0 4x = 0 + -2x 4x = -2x Solving 4x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4x + 2x = -2x + 2x Combine like terms: 4x + 2x = 6x 6x = -2x + 2x Combine like terms: -2x + 2x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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