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Simplifying 3x + -4 + 2(5x + 1) = -3(x + 4) Reorder the terms: 3x + -4 + 2(1 + 5x) = -3(x + 4) 3x + -4 + (1 * 2 + 5x * 2) = -3(x + 4) 3x + -4 + (2 + 10x) = -3(x + 4) Reorder the terms: -4 + 2 + 3x + 10x = -3(x + 4) Combine like terms: -4 + 2 = -2 -2 + 3x + 10x = -3(x + 4) Combine like terms: 3x + 10x = 13x -2 + 13x = -3(x + 4) Reorder the terms: -2 + 13x = -3(4 + x) -2 + 13x = (4 * -3 + x * -3) -2 + 13x = (-12 + -3x) Solving -2 + 13x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 13x + 3x = -12 + -3x + 3x Combine like terms: 13x + 3x = 16x -2 + 16x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 16x = -12 + 0 -2 + 16x = -12 Add '2' to each side of the equation. -2 + 2 + 16x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 16x = -12 + 2 16x = -12 + 2 Combine like terms: -12 + 2 = -10 16x = -10 Divide each side by '16'. x = -0.625 Simplifying x = -0.625
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