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Simplifying 4x + -2(x + -1) = 10 + -2(x + -3) Reorder the terms: 4x + -2(-1 + x) = 10 + -2(x + -3) 4x + (-1 * -2 + x * -2) = 10 + -2(x + -3) 4x + (2 + -2x) = 10 + -2(x + -3) Reorder the terms: 2 + 4x + -2x = 10 + -2(x + -3) Combine like terms: 4x + -2x = 2x 2 + 2x = 10 + -2(x + -3) Reorder the terms: 2 + 2x = 10 + -2(-3 + x) 2 + 2x = 10 + (-3 * -2 + x * -2) 2 + 2x = 10 + (6 + -2x) Combine like terms: 10 + 6 = 16 2 + 2x = 16 + -2x Solving 2 + 2x = 16 + -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. 2 + 2x + 2x = 16 + -2x + 2x Combine like terms: 2x + 2x = 4x 2 + 4x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 4x = 16 + 0 2 + 4x = 16 Add '-2' to each side of the equation. 2 + -2 + 4x = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 16 + -2 4x = 16 + -2 Combine like terms: 16 + -2 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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