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Simplifying 5x + -4 + 2(5x + 2) = -3(x + 4) Reorder the terms: 5x + -4 + 2(2 + 5x) = -3(x + 4) 5x + -4 + (2 * 2 + 5x * 2) = -3(x + 4) 5x + -4 + (4 + 10x) = -3(x + 4) Reorder the terms: -4 + 4 + 5x + 10x = -3(x + 4) Combine like terms: -4 + 4 = 0 0 + 5x + 10x = -3(x + 4) 5x + 10x = -3(x + 4) Combine like terms: 5x + 10x = 15x 15x = -3(x + 4) Reorder the terms: 15x = -3(4 + x) 15x = (4 * -3 + x * -3) 15x = (-12 + -3x) Solving 15x = -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. 15x + 3x = -12 + -3x + 3x Combine like terms: 15x + 3x = 18x 18x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 18x = -12 + 0 18x = -12 Divide each side by '18'. x = -0.6666666667 Simplifying x = -0.6666666667
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