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Simplifying 3x + -1(7x + 3) = 8x + 2(x + -3) Reorder the terms: 3x + -1(3 + 7x) = 8x + 2(x + -3) 3x + (3 * -1 + 7x * -1) = 8x + 2(x + -3) 3x + (-3 + -7x) = 8x + 2(x + -3) Reorder the terms: -3 + 3x + -7x = 8x + 2(x + -3) Combine like terms: 3x + -7x = -4x -3 + -4x = 8x + 2(x + -3) Reorder the terms: -3 + -4x = 8x + 2(-3 + x) -3 + -4x = 8x + (-3 * 2 + x * 2) -3 + -4x = 8x + (-6 + 2x) Reorder the terms: -3 + -4x = -6 + 8x + 2x Combine like terms: 8x + 2x = 10x -3 + -4x = -6 + 10x Solving -3 + -4x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + -4x + -10x = -6 + 10x + -10x Combine like terms: -4x + -10x = -14x -3 + -14x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + -14x = -6 + 0 -3 + -14x = -6 Add '3' to each side of the equation. -3 + 3 + -14x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + -14x = -6 + 3 -14x = -6 + 3 Combine like terms: -6 + 3 = -3 -14x = -3 Divide each side by '-14'. x = 0.2142857143 Simplifying x = 0.2142857143
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