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Simplifying x + 3(x + -1) = 6 + -4(x + -2) Reorder the terms: x + 3(-1 + x) = 6 + -4(x + -2) x + (-1 * 3 + x * 3) = 6 + -4(x + -2) x + (-3 + 3x) = 6 + -4(x + -2) Reorder the terms: -3 + x + 3x = 6 + -4(x + -2) Combine like terms: x + 3x = 4x -3 + 4x = 6 + -4(x + -2) Reorder the terms: -3 + 4x = 6 + -4(-2 + x) -3 + 4x = 6 + (-2 * -4 + x * -4) -3 + 4x = 6 + (8 + -4x) Combine like terms: 6 + 8 = 14 -3 + 4x = 14 + -4x Solving -3 + 4x = 14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 4x + 4x = 14 + -4x + 4x Combine like terms: 4x + 4x = 8x -3 + 8x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 8x = 14 + 0 -3 + 8x = 14 Add '3' to each side of the equation. -3 + 3 + 8x = 14 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 14 + 3 8x = 14 + 3 Combine like terms: 14 + 3 = 17 8x = 17 Divide each side by '8'. x = 2.125 Simplifying x = 2.125
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