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Simplifying 5x + 3(x + -2) = 4x + -1(x + -4) Reorder the terms: 5x + 3(-2 + x) = 4x + -1(x + -4) 5x + (-2 * 3 + x * 3) = 4x + -1(x + -4) 5x + (-6 + 3x) = 4x + -1(x + -4) Reorder the terms: -6 + 5x + 3x = 4x + -1(x + -4) Combine like terms: 5x + 3x = 8x -6 + 8x = 4x + -1(x + -4) Reorder the terms: -6 + 8x = 4x + -1(-4 + x) -6 + 8x = 4x + (-4 * -1 + x * -1) -6 + 8x = 4x + (4 + -1x) Reorder the terms: -6 + 8x = 4 + 4x + -1x Combine like terms: 4x + -1x = 3x -6 + 8x = 4 + 3x Solving -6 + 8x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 8x + -3x = 4 + 3x + -3x Combine like terms: 8x + -3x = 5x -6 + 5x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 5x = 4 + 0 -6 + 5x = 4 Add '6' to each side of the equation. -6 + 6 + 5x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 4 + 6 5x = 4 + 6 Combine like terms: 4 + 6 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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