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Simplifying 10(x + -7) = -50 + 12x Reorder the terms: 10(-7 + x) = -50 + 12x (-7 * 10 + x * 10) = -50 + 12x (-70 + 10x) = -50 + 12x Solving -70 + 10x = -50 + 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. -70 + 10x + -12x = -50 + 12x + -12x Combine like terms: 10x + -12x = -2x -70 + -2x = -50 + 12x + -12x Combine like terms: 12x + -12x = 0 -70 + -2x = -50 + 0 -70 + -2x = -50 Add '70' to each side of the equation. -70 + 70 + -2x = -50 + 70 Combine like terms: -70 + 70 = 0 0 + -2x = -50 + 70 -2x = -50 + 70 Combine like terms: -50 + 70 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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