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Simplifying 5(3x + -1) + -10x = -1(2 + -7x) Reorder the terms: 5(-1 + 3x) + -10x = -1(2 + -7x) (-1 * 5 + 3x * 5) + -10x = -1(2 + -7x) (-5 + 15x) + -10x = -1(2 + -7x) Combine like terms: 15x + -10x = 5x -5 + 5x = -1(2 + -7x) -5 + 5x = (2 * -1 + -7x * -1) -5 + 5x = (-2 + 7x) Solving -5 + 5x = -2 + 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. -5 + 5x + -7x = -2 + 7x + -7x Combine like terms: 5x + -7x = -2x -5 + -2x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -2x = -2 + 0 -5 + -2x = -2 Add '5' to each side of the equation. -5 + 5 + -2x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -2 + 5 -2x = -2 + 5 Combine like terms: -2 + 5 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5
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