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Simplifying 7(x + 10) = 10(x + -8) Reorder the terms: 7(10 + x) = 10(x + -8) (10 * 7 + x * 7) = 10(x + -8) (70 + 7x) = 10(x + -8) Reorder the terms: 70 + 7x = 10(-8 + x) 70 + 7x = (-8 * 10 + x * 10) 70 + 7x = (-80 + 10x) Solving 70 + 7x = -80 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 70 + 7x + -10x = -80 + 10x + -10x Combine like terms: 7x + -10x = -3x 70 + -3x = -80 + 10x + -10x Combine like terms: 10x + -10x = 0 70 + -3x = -80 + 0 70 + -3x = -80 Add '-70' to each side of the equation. 70 + -70 + -3x = -80 + -70 Combine like terms: 70 + -70 = 0 0 + -3x = -80 + -70 -3x = -80 + -70 Combine like terms: -80 + -70 = -150 -3x = -150 Divide each side by '-3'. x = 50 Simplifying x = 50
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