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Simplifying 3x + -2(x + -4) = 1 + -1(4x + 3) Reorder the terms: 3x + -2(-4 + x) = 1 + -1(4x + 3) 3x + (-4 * -2 + x * -2) = 1 + -1(4x + 3) 3x + (8 + -2x) = 1 + -1(4x + 3) Reorder the terms: 8 + 3x + -2x = 1 + -1(4x + 3) Combine like terms: 3x + -2x = 1x 8 + 1x = 1 + -1(4x + 3) Reorder the terms: 8 + 1x = 1 + -1(3 + 4x) 8 + 1x = 1 + (3 * -1 + 4x * -1) 8 + 1x = 1 + (-3 + -4x) Combine like terms: 1 + -3 = -2 8 + 1x = -2 + -4x Solving 8 + 1x = -2 + -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. 8 + 1x + 4x = -2 + -4x + 4x Combine like terms: 1x + 4x = 5x 8 + 5x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 5x = -2 + 0 8 + 5x = -2 Add '-8' to each side of the equation. 8 + -8 + 5x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -2 + -8 5x = -2 + -8 Combine like terms: -2 + -8 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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