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Simplifying 5(-4x + 8) + 3(6 + 12x) = 8 + -7x + -2x Reorder the terms: 5(8 + -4x) + 3(6 + 12x) = 8 + -7x + -2x (8 * 5 + -4x * 5) + 3(6 + 12x) = 8 + -7x + -2x (40 + -20x) + 3(6 + 12x) = 8 + -7x + -2x 40 + -20x + (6 * 3 + 12x * 3) = 8 + -7x + -2x 40 + -20x + (18 + 36x) = 8 + -7x + -2x Reorder the terms: 40 + 18 + -20x + 36x = 8 + -7x + -2x Combine like terms: 40 + 18 = 58 58 + -20x + 36x = 8 + -7x + -2x Combine like terms: -20x + 36x = 16x 58 + 16x = 8 + -7x + -2x Combine like terms: -7x + -2x = -9x 58 + 16x = 8 + -9x Solving 58 + 16x = 8 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 58 + 16x + 9x = 8 + -9x + 9x Combine like terms: 16x + 9x = 25x 58 + 25x = 8 + -9x + 9x Combine like terms: -9x + 9x = 0 58 + 25x = 8 + 0 58 + 25x = 8 Add '-58' to each side of the equation. 58 + -58 + 25x = 8 + -58 Combine like terms: 58 + -58 = 0 0 + 25x = 8 + -58 25x = 8 + -58 Combine like terms: 8 + -58 = -50 25x = -50 Divide each side by '25'. x = -2 Simplifying x = -2
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