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Simplifying 10(x + -3) + -5(1 + -6x) = 5(x + -7) Reorder the terms: 10(-3 + x) + -5(1 + -6x) = 5(x + -7) (-3 * 10 + x * 10) + -5(1 + -6x) = 5(x + -7) (-30 + 10x) + -5(1 + -6x) = 5(x + -7) -30 + 10x + (1 * -5 + -6x * -5) = 5(x + -7) -30 + 10x + (-5 + 30x) = 5(x + -7) Reorder the terms: -30 + -5 + 10x + 30x = 5(x + -7) Combine like terms: -30 + -5 = -35 -35 + 10x + 30x = 5(x + -7) Combine like terms: 10x + 30x = 40x -35 + 40x = 5(x + -7) Reorder the terms: -35 + 40x = 5(-7 + x) -35 + 40x = (-7 * 5 + x * 5) -35 + 40x = (-35 + 5x) Add '35' to each side of the equation. -35 + 35 + 40x = -35 + 35 + 5x Combine like terms: -35 + 35 = 0 0 + 40x = -35 + 35 + 5x 40x = -35 + 35 + 5x Combine like terms: -35 + 35 = 0 40x = 0 + 5x 40x = 5x Solving 40x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 40x + -5x = 5x + -5x Combine like terms: 40x + -5x = 35x 35x = 5x + -5x Combine like terms: 5x + -5x = 0 35x = 0 Divide each side by '35'. x = 0 Simplifying x = 0
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