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Simplifying -4(x + 5) + 3x = -8 + -3x Reorder the terms: -4(5 + x) + 3x = -8 + -3x (5 * -4 + x * -4) + 3x = -8 + -3x (-20 + -4x) + 3x = -8 + -3x Combine like terms: -4x + 3x = -1x -20 + -1x = -8 + -3x Solving -20 + -1x = -8 + -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. -20 + -1x + 3x = -8 + -3x + 3x Combine like terms: -1x + 3x = 2x -20 + 2x = -8 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 2x = -8 + 0 -20 + 2x = -8 Add '20' to each side of the equation. -20 + 20 + 2x = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = -8 + 20 2x = -8 + 20 Combine like terms: -8 + 20 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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