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Simplifying 5(2x + -10) = 6(x + -1) Reorder the terms: 5(-10 + 2x) = 6(x + -1) (-10 * 5 + 2x * 5) = 6(x + -1) (-50 + 10x) = 6(x + -1) Reorder the terms: -50 + 10x = 6(-1 + x) -50 + 10x = (-1 * 6 + x * 6) -50 + 10x = (-6 + 6x) Solving -50 + 10x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -50 + 10x + -6x = -6 + 6x + -6x Combine like terms: 10x + -6x = 4x -50 + 4x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -50 + 4x = -6 + 0 -50 + 4x = -6 Add '50' to each side of the equation. -50 + 50 + 4x = -6 + 50 Combine like terms: -50 + 50 = 0 0 + 4x = -6 + 50 4x = -6 + 50 Combine like terms: -6 + 50 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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