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Simplifying 7(x + 6) + -3(x + -4) = 0 Reorder the terms: 7(6 + x) + -3(x + -4) = 0 (6 * 7 + x * 7) + -3(x + -4) = 0 (42 + 7x) + -3(x + -4) = 0 Reorder the terms: 42 + 7x + -3(-4 + x) = 0 42 + 7x + (-4 * -3 + x * -3) = 0 42 + 7x + (12 + -3x) = 0 Reorder the terms: 42 + 12 + 7x + -3x = 0 Combine like terms: 42 + 12 = 54 54 + 7x + -3x = 0 Combine like terms: 7x + -3x = 4x 54 + 4x = 0 Solving 54 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 4x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 4x = 0 + -54 4x = 0 + -54 Combine like terms: 0 + -54 = -54 4x = -54 Divide each side by '4'. x = -13.5 Simplifying x = -13.5
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