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Simplifying 5(3x + -2) + 8 = 8(5x + 2) + -12 Reorder the terms: 5(-2 + 3x) + 8 = 8(5x + 2) + -12 (-2 * 5 + 3x * 5) + 8 = 8(5x + 2) + -12 (-10 + 15x) + 8 = 8(5x + 2) + -12 Reorder the terms: -10 + 8 + 15x = 8(5x + 2) + -12 Combine like terms: -10 + 8 = -2 -2 + 15x = 8(5x + 2) + -12 Reorder the terms: -2 + 15x = 8(2 + 5x) + -12 -2 + 15x = (2 * 8 + 5x * 8) + -12 -2 + 15x = (16 + 40x) + -12 Reorder the terms: -2 + 15x = 16 + -12 + 40x Combine like terms: 16 + -12 = 4 -2 + 15x = 4 + 40x Solving -2 + 15x = 4 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -2 + 15x + -40x = 4 + 40x + -40x Combine like terms: 15x + -40x = -25x -2 + -25x = 4 + 40x + -40x Combine like terms: 40x + -40x = 0 -2 + -25x = 4 + 0 -2 + -25x = 4 Add '2' to each side of the equation. -2 + 2 + -25x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -25x = 4 + 2 -25x = 4 + 2 Combine like terms: 4 + 2 = 6 -25x = 6 Divide each side by '-25'. x = -0.24 Simplifying x = -0.24
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