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Simplifying 3x + 8(7 + -5x) = 8x + -2 3x + (7 * 8 + -5x * 8) = 8x + -2 3x + (56 + -40x) = 8x + -2 Reorder the terms: 56 + 3x + -40x = 8x + -2 Combine like terms: 3x + -40x = -37x 56 + -37x = 8x + -2 Reorder the terms: 56 + -37x = -2 + 8x Solving 56 + -37x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 56 + -37x + -8x = -2 + 8x + -8x Combine like terms: -37x + -8x = -45x 56 + -45x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 56 + -45x = -2 + 0 56 + -45x = -2 Add '-56' to each side of the equation. 56 + -56 + -45x = -2 + -56 Combine like terms: 56 + -56 = 0 0 + -45x = -2 + -56 -45x = -2 + -56 Combine like terms: -2 + -56 = -58 -45x = -58 Divide each side by '-45'. x = 1.288888889 Simplifying x = 1.288888889
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