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Simplifying 7(-10 + 3x) = 10(x + -7) (-10 * 7 + 3x * 7) = 10(x + -7) (-70 + 21x) = 10(x + -7) Reorder the terms: -70 + 21x = 10(-7 + x) -70 + 21x = (-7 * 10 + x * 10) -70 + 21x = (-70 + 10x) Add '70' to each side of the equation. -70 + 70 + 21x = -70 + 70 + 10x Combine like terms: -70 + 70 = 0 0 + 21x = -70 + 70 + 10x 21x = -70 + 70 + 10x Combine like terms: -70 + 70 = 0 21x = 0 + 10x 21x = 10x Solving 21x = 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. 21x + -10x = 10x + -10x Combine like terms: 21x + -10x = 11x 11x = 10x + -10x Combine like terms: 10x + -10x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0
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