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Simplifying 5(x + -6) + 4 = 7(x + -2) + -12 Reorder the terms: 5(-6 + x) + 4 = 7(x + -2) + -12 (-6 * 5 + x * 5) + 4 = 7(x + -2) + -12 (-30 + 5x) + 4 = 7(x + -2) + -12 Reorder the terms: -30 + 4 + 5x = 7(x + -2) + -12 Combine like terms: -30 + 4 = -26 -26 + 5x = 7(x + -2) + -12 Reorder the terms: -26 + 5x = 7(-2 + x) + -12 -26 + 5x = (-2 * 7 + x * 7) + -12 -26 + 5x = (-14 + 7x) + -12 Reorder the terms: -26 + 5x = -14 + -12 + 7x Combine like terms: -14 + -12 = -26 -26 + 5x = -26 + 7x Add '26' to each side of the equation. -26 + 26 + 5x = -26 + 26 + 7x Combine like terms: -26 + 26 = 0 0 + 5x = -26 + 26 + 7x 5x = -26 + 26 + 7x Combine like terms: -26 + 26 = 0 5x = 0 + 7x 5x = 7x Solving 5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5x + -7x = 7x + -7x Combine like terms: 5x + -7x = -2x -2x = 7x + -7x Combine like terms: 7x + -7x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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