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Simplifying 5(2x + -10) = 12(x + -7) Reorder the terms: 5(-10 + 2x) = 12(x + -7) (-10 * 5 + 2x * 5) = 12(x + -7) (-50 + 10x) = 12(x + -7) Reorder the terms: -50 + 10x = 12(-7 + x) -50 + 10x = (-7 * 12 + x * 12) -50 + 10x = (-84 + 12x) Solving -50 + 10x = -84 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -50 + 10x + -12x = -84 + 12x + -12x Combine like terms: 10x + -12x = -2x -50 + -2x = -84 + 12x + -12x Combine like terms: 12x + -12x = 0 -50 + -2x = -84 + 0 -50 + -2x = -84 Add '50' to each side of the equation. -50 + 50 + -2x = -84 + 50 Combine like terms: -50 + 50 = 0 0 + -2x = -84 + 50 -2x = -84 + 50 Combine like terms: -84 + 50 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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