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Simplifying -3(x + 6) + 8x = -3 + 5(2x + 1) Reorder the terms: -3(6 + x) + 8x = -3 + 5(2x + 1) (6 * -3 + x * -3) + 8x = -3 + 5(2x + 1) (-18 + -3x) + 8x = -3 + 5(2x + 1) Combine like terms: -3x + 8x = 5x -18 + 5x = -3 + 5(2x + 1) Reorder the terms: -18 + 5x = -3 + 5(1 + 2x) -18 + 5x = -3 + (1 * 5 + 2x * 5) -18 + 5x = -3 + (5 + 10x) Combine like terms: -3 + 5 = 2 -18 + 5x = 2 + 10x Solving -18 + 5x = 2 + 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. -18 + 5x + -10x = 2 + 10x + -10x Combine like terms: 5x + -10x = -5x -18 + -5x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + -5x = 2 + 0 -18 + -5x = 2 Add '18' to each side of the equation. -18 + 18 + -5x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = 2 + 18 -5x = 2 + 18 Combine like terms: 2 + 18 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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