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Simplifying 7x + 10 + -3(x + -6) = 0 Reorder the terms: 7x + 10 + -3(-6 + x) = 0 7x + 10 + (-6 * -3 + x * -3) = 0 7x + 10 + (18 + -3x) = 0 Reorder the terms: 10 + 18 + 7x + -3x = 0 Combine like terms: 10 + 18 = 28 28 + 7x + -3x = 0 Combine like terms: 7x + -3x = 4x 28 + 4x = 0 Solving 28 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 4x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = 0 + -28 4x = 0 + -28 Combine like terms: 0 + -28 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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