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Simplifying -8 + -5(8x + -4) = 7(3x + -8) + 7 Reorder the terms: -8 + -5(-4 + 8x) = 7(3x + -8) + 7 -8 + (-4 * -5 + 8x * -5) = 7(3x + -8) + 7 -8 + (20 + -40x) = 7(3x + -8) + 7 Combine like terms: -8 + 20 = 12 12 + -40x = 7(3x + -8) + 7 Reorder the terms: 12 + -40x = 7(-8 + 3x) + 7 12 + -40x = (-8 * 7 + 3x * 7) + 7 12 + -40x = (-56 + 21x) + 7 Reorder the terms: 12 + -40x = -56 + 7 + 21x Combine like terms: -56 + 7 = -49 12 + -40x = -49 + 21x Solving 12 + -40x = -49 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 12 + -40x + -21x = -49 + 21x + -21x Combine like terms: -40x + -21x = -61x 12 + -61x = -49 + 21x + -21x Combine like terms: 21x + -21x = 0 12 + -61x = -49 + 0 12 + -61x = -49 Add '-12' to each side of the equation. 12 + -12 + -61x = -49 + -12 Combine like terms: 12 + -12 = 0 0 + -61x = -49 + -12 -61x = -49 + -12 Combine like terms: -49 + -12 = -61 -61x = -61 Divide each side by '-61'. x = 1 Simplifying x = 1
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