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Simplifying -10x + 4x = 7(x + -12) + 5(-6x + 10) Combine like terms: -10x + 4x = -6x -6x = 7(x + -12) + 5(-6x + 10) Reorder the terms: -6x = 7(-12 + x) + 5(-6x + 10) -6x = (-12 * 7 + x * 7) + 5(-6x + 10) -6x = (-84 + 7x) + 5(-6x + 10) Reorder the terms: -6x = -84 + 7x + 5(10 + -6x) -6x = -84 + 7x + (10 * 5 + -6x * 5) -6x = -84 + 7x + (50 + -30x) Reorder the terms: -6x = -84 + 50 + 7x + -30x Combine like terms: -84 + 50 = -34 -6x = -34 + 7x + -30x Combine like terms: 7x + -30x = -23x -6x = -34 + -23x Solving -6x = -34 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. -6x + 23x = -34 + -23x + 23x Combine like terms: -6x + 23x = 17x 17x = -34 + -23x + 23x Combine like terms: -23x + 23x = 0 17x = -34 + 0 17x = -34 Divide each side by '17'. x = -2 Simplifying x = -2
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