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Simplifying 6x + -8 + 2(5x + 3) = -2(x + 3) Reorder the terms: 6x + -8 + 2(3 + 5x) = -2(x + 3) 6x + -8 + (3 * 2 + 5x * 2) = -2(x + 3) 6x + -8 + (6 + 10x) = -2(x + 3) Reorder the terms: -8 + 6 + 6x + 10x = -2(x + 3) Combine like terms: -8 + 6 = -2 -2 + 6x + 10x = -2(x + 3) Combine like terms: 6x + 10x = 16x -2 + 16x = -2(x + 3) Reorder the terms: -2 + 16x = -2(3 + x) -2 + 16x = (3 * -2 + x * -2) -2 + 16x = (-6 + -2x) Solving -2 + 16x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 16x + 2x = -6 + -2x + 2x Combine like terms: 16x + 2x = 18x -2 + 18x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 18x = -6 + 0 -2 + 18x = -6 Add '2' to each side of the equation. -2 + 2 + 18x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 18x = -6 + 2 18x = -6 + 2 Combine like terms: -6 + 2 = -4 18x = -4 Divide each side by '18'. x = -0.2222222222 Simplifying x = -0.2222222222
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