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Simplifying 4(x + -5) + x = 8x + -10 + -1x Reorder the terms: 4(-5 + x) + x = 8x + -10 + -1x (-5 * 4 + x * 4) + x = 8x + -10 + -1x (-20 + 4x) + x = 8x + -10 + -1x Combine like terms: 4x + x = 5x -20 + 5x = 8x + -10 + -1x Reorder the terms: -20 + 5x = -10 + 8x + -1x Combine like terms: 8x + -1x = 7x -20 + 5x = -10 + 7x Solving -20 + 5x = -10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + 5x + -7x = -10 + 7x + -7x Combine like terms: 5x + -7x = -2x -20 + -2x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + -2x = -10 + 0 -20 + -2x = -10 Add '20' to each side of the equation. -20 + 20 + -2x = -10 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -10 + 20 -2x = -10 + 20 Combine like terms: -10 + 20 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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