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Simplifying 5(8 + -6x) = -7x + 2(-8x + -8) (8 * 5 + -6x * 5) = -7x + 2(-8x + -8) (40 + -30x) = -7x + 2(-8x + -8) Reorder the terms: 40 + -30x = -7x + 2(-8 + -8x) 40 + -30x = -7x + (-8 * 2 + -8x * 2) 40 + -30x = -7x + (-16 + -16x) Reorder the terms: 40 + -30x = -16 + -7x + -16x Combine like terms: -7x + -16x = -23x 40 + -30x = -16 + -23x Solving 40 + -30x = -16 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 40 + -30x + 23x = -16 + -23x + 23x Combine like terms: -30x + 23x = -7x 40 + -7x = -16 + -23x + 23x Combine like terms: -23x + 23x = 0 40 + -7x = -16 + 0 40 + -7x = -16 Add '-40' to each side of the equation. 40 + -40 + -7x = -16 + -40 Combine like terms: 40 + -40 = 0 0 + -7x = -16 + -40 -7x = -16 + -40 Combine like terms: -16 + -40 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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