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Simplifying 4(x + 2) + 3(x + -6) = -3 Reorder the terms: 4(2 + x) + 3(x + -6) = -3 (2 * 4 + x * 4) + 3(x + -6) = -3 (8 + 4x) + 3(x + -6) = -3 Reorder the terms: 8 + 4x + 3(-6 + x) = -3 8 + 4x + (-6 * 3 + x * 3) = -3 8 + 4x + (-18 + 3x) = -3 Reorder the terms: 8 + -18 + 4x + 3x = -3 Combine like terms: 8 + -18 = -10 -10 + 4x + 3x = -3 Combine like terms: 4x + 3x = 7x -10 + 7x = -3 Solving -10 + 7x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 7x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = -3 + 10 7x = -3 + 10 Combine like terms: -3 + 10 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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