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Simplifying 3(x + -5) + -2x = 4x + 8(2 + -1x) Reorder the terms: 3(-5 + x) + -2x = 4x + 8(2 + -1x) (-5 * 3 + x * 3) + -2x = 4x + 8(2 + -1x) (-15 + 3x) + -2x = 4x + 8(2 + -1x) Combine like terms: 3x + -2x = 1x -15 + 1x = 4x + 8(2 + -1x) -15 + 1x = 4x + (2 * 8 + -1x * 8) -15 + 1x = 4x + (16 + -8x) Reorder the terms: -15 + 1x = 16 + 4x + -8x Combine like terms: 4x + -8x = -4x -15 + 1x = 16 + -4x Solving -15 + 1x = 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. -15 + 1x + 4x = 16 + -4x + 4x Combine like terms: 1x + 4x = 5x -15 + 5x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 5x = 16 + 0 -15 + 5x = 16 Add '15' to each side of the equation. -15 + 15 + 5x = 16 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 16 + 15 5x = 16 + 15 Combine like terms: 16 + 15 = 31 5x = 31 Divide each side by '5'. x = 6.2 Simplifying x = 6.2
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