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Simplifying -6 + -5(3x + 4) = -8(-8 + -2x) + 3 Reorder the terms: -6 + -5(4 + 3x) = -8(-8 + -2x) + 3 -6 + (4 * -5 + 3x * -5) = -8(-8 + -2x) + 3 -6 + (-20 + -15x) = -8(-8 + -2x) + 3 Combine like terms: -6 + -20 = -26 -26 + -15x = -8(-8 + -2x) + 3 -26 + -15x = (-8 * -8 + -2x * -8) + 3 -26 + -15x = (64 + 16x) + 3 Reorder the terms: -26 + -15x = 64 + 3 + 16x Combine like terms: 64 + 3 = 67 -26 + -15x = 67 + 16x Solving -26 + -15x = 67 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -26 + -15x + -16x = 67 + 16x + -16x Combine like terms: -15x + -16x = -31x -26 + -31x = 67 + 16x + -16x Combine like terms: 16x + -16x = 0 -26 + -31x = 67 + 0 -26 + -31x = 67 Add '26' to each side of the equation. -26 + 26 + -31x = 67 + 26 Combine like terms: -26 + 26 = 0 0 + -31x = 67 + 26 -31x = 67 + 26 Combine like terms: 67 + 26 = 93 -31x = 93 Divide each side by '-31'. x = -3 Simplifying x = -3
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