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Simplifying -5x + 4 + -3x = 2 + 4(x + 5) Reorder the terms: 4 + -5x + -3x = 2 + 4(x + 5) Combine like terms: -5x + -3x = -8x 4 + -8x = 2 + 4(x + 5) Reorder the terms: 4 + -8x = 2 + 4(5 + x) 4 + -8x = 2 + (5 * 4 + x * 4) 4 + -8x = 2 + (20 + 4x) Combine like terms: 2 + 20 = 22 4 + -8x = 22 + 4x Solving 4 + -8x = 22 + 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. 4 + -8x + -4x = 22 + 4x + -4x Combine like terms: -8x + -4x = -12x 4 + -12x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -12x = 22 + 0 4 + -12x = 22 Add '-4' to each side of the equation. 4 + -4 + -12x = 22 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = 22 + -4 -12x = 22 + -4 Combine like terms: 22 + -4 = 18 -12x = 18 Divide each side by '-12'. x = -1.5 Simplifying x = -1.5
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