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Simplifying 5(x + -4) + 3(x + 2) = 4(x + -5) + 4 Reorder the terms: 5(-4 + x) + 3(x + 2) = 4(x + -5) + 4 (-4 * 5 + x * 5) + 3(x + 2) = 4(x + -5) + 4 (-20 + 5x) + 3(x + 2) = 4(x + -5) + 4 Reorder the terms: -20 + 5x + 3(2 + x) = 4(x + -5) + 4 -20 + 5x + (2 * 3 + x * 3) = 4(x + -5) + 4 -20 + 5x + (6 + 3x) = 4(x + -5) + 4 Reorder the terms: -20 + 6 + 5x + 3x = 4(x + -5) + 4 Combine like terms: -20 + 6 = -14 -14 + 5x + 3x = 4(x + -5) + 4 Combine like terms: 5x + 3x = 8x -14 + 8x = 4(x + -5) + 4 Reorder the terms: -14 + 8x = 4(-5 + x) + 4 -14 + 8x = (-5 * 4 + x * 4) + 4 -14 + 8x = (-20 + 4x) + 4 Reorder the terms: -14 + 8x = -20 + 4 + 4x Combine like terms: -20 + 4 = -16 -14 + 8x = -16 + 4x Solving -14 + 8x = -16 + 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. -14 + 8x + -4x = -16 + 4x + -4x Combine like terms: 8x + -4x = 4x -14 + 4x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 4x = -16 + 0 -14 + 4x = -16 Add '14' to each side of the equation. -14 + 14 + 4x = -16 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = -16 + 14 4x = -16 + 14 Combine like terms: -16 + 14 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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