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Simplifying 3x + -1(7x + 3) = 7x + 2(x + -4) Reorder the terms: 3x + -1(3 + 7x) = 7x + 2(x + -4) 3x + (3 * -1 + 7x * -1) = 7x + 2(x + -4) 3x + (-3 + -7x) = 7x + 2(x + -4) Reorder the terms: -3 + 3x + -7x = 7x + 2(x + -4) Combine like terms: 3x + -7x = -4x -3 + -4x = 7x + 2(x + -4) Reorder the terms: -3 + -4x = 7x + 2(-4 + x) -3 + -4x = 7x + (-4 * 2 + x * 2) -3 + -4x = 7x + (-8 + 2x) Reorder the terms: -3 + -4x = -8 + 7x + 2x Combine like terms: 7x + 2x = 9x -3 + -4x = -8 + 9x Solving -3 + -4x = -8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -3 + -4x + -9x = -8 + 9x + -9x Combine like terms: -4x + -9x = -13x -3 + -13x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + -13x = -8 + 0 -3 + -13x = -8 Add '3' to each side of the equation. -3 + 3 + -13x = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -13x = -8 + 3 -13x = -8 + 3 Combine like terms: -8 + 3 = -5 -13x = -5 Divide each side by '-13'. x = 0.3846153846 Simplifying x = 0.3846153846
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