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Simplifying 8(3x + -2) = 7x + 5 + -2x Reorder the terms: 8(-2 + 3x) = 7x + 5 + -2x (-2 * 8 + 3x * 8) = 7x + 5 + -2x (-16 + 24x) = 7x + 5 + -2x Reorder the terms: -16 + 24x = 5 + 7x + -2x Combine like terms: 7x + -2x = 5x -16 + 24x = 5 + 5x Solving -16 + 24x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 24x + -5x = 5 + 5x + -5x Combine like terms: 24x + -5x = 19x -16 + 19x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 19x = 5 + 0 -16 + 19x = 5 Add '16' to each side of the equation. -16 + 16 + 19x = 5 + 16 Combine like terms: -16 + 16 = 0 0 + 19x = 5 + 16 19x = 5 + 16 Combine like terms: 5 + 16 = 21 19x = 21 Divide each side by '19'. x = 1.105263158 Simplifying x = 1.105263158
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