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Simplifying 8(3x + 1) + -2 = 4 + 5(x + -1) Reorder the terms: 8(1 + 3x) + -2 = 4 + 5(x + -1) (1 * 8 + 3x * 8) + -2 = 4 + 5(x + -1) (8 + 24x) + -2 = 4 + 5(x + -1) Reorder the terms: 8 + -2 + 24x = 4 + 5(x + -1) Combine like terms: 8 + -2 = 6 6 + 24x = 4 + 5(x + -1) Reorder the terms: 6 + 24x = 4 + 5(-1 + x) 6 + 24x = 4 + (-1 * 5 + x * 5) 6 + 24x = 4 + (-5 + 5x) Combine like terms: 4 + -5 = -1 6 + 24x = -1 + 5x Solving 6 + 24x = -1 + 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. 6 + 24x + -5x = -1 + 5x + -5x Combine like terms: 24x + -5x = 19x 6 + 19x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 19x = -1 + 0 6 + 19x = -1 Add '-6' to each side of the equation. 6 + -6 + 19x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 19x = -1 + -6 19x = -1 + -6 Combine like terms: -1 + -6 = -7 19x = -7 Divide each side by '19'. x = -0.3684210526 Simplifying x = -0.3684210526
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