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Simplifying 4x + -1(x + 1) + -2(x + 3) = 8 Reorder the terms: 4x + -1(1 + x) + -2(x + 3) = 8 4x + (1 * -1 + x * -1) + -2(x + 3) = 8 4x + (-1 + -1x) + -2(x + 3) = 8 Reorder the terms: 4x + -1 + -1x + -2(3 + x) = 8 4x + -1 + -1x + (3 * -2 + x * -2) = 8 4x + -1 + -1x + (-6 + -2x) = 8 Reorder the terms: -1 + -6 + 4x + -1x + -2x = 8 Combine like terms: -1 + -6 = -7 -7 + 4x + -1x + -2x = 8 Combine like terms: 4x + -1x = 3x -7 + 3x + -2x = 8 Combine like terms: 3x + -2x = 1x -7 + 1x = 8 Solving -7 + 1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 8 + 7 1x = 8 + 7 Combine like terms: 8 + 7 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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