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Simplifying -5(2x + 1) + -1 = -5(x + 4) + 3x Reorder the terms: -5(1 + 2x) + -1 = -5(x + 4) + 3x (1 * -5 + 2x * -5) + -1 = -5(x + 4) + 3x (-5 + -10x) + -1 = -5(x + 4) + 3x Reorder the terms: -5 + -1 + -10x = -5(x + 4) + 3x Combine like terms: -5 + -1 = -6 -6 + -10x = -5(x + 4) + 3x Reorder the terms: -6 + -10x = -5(4 + x) + 3x -6 + -10x = (4 * -5 + x * -5) + 3x -6 + -10x = (-20 + -5x) + 3x Combine like terms: -5x + 3x = -2x -6 + -10x = -20 + -2x Solving -6 + -10x = -20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + -10x + 2x = -20 + -2x + 2x Combine like terms: -10x + 2x = -8x -6 + -8x = -20 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + -8x = -20 + 0 -6 + -8x = -20 Add '6' to each side of the equation. -6 + 6 + -8x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -20 + 6 -8x = -20 + 6 Combine like terms: -20 + 6 = -14 -8x = -14 Divide each side by '-8'. x = 1.75 Simplifying x = 1.75
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