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Simplifying 1 + 4(2x + -6) + -3(x + 4) = 0 Reorder the terms: 1 + 4(-6 + 2x) + -3(x + 4) = 0 1 + (-6 * 4 + 2x * 4) + -3(x + 4) = 0 1 + (-24 + 8x) + -3(x + 4) = 0 Reorder the terms: 1 + -24 + 8x + -3(4 + x) = 0 1 + -24 + 8x + (4 * -3 + x * -3) = 0 1 + -24 + 8x + (-12 + -3x) = 0 Reorder the terms: 1 + -24 + -12 + 8x + -3x = 0 Combine like terms: 1 + -24 = -23 -23 + -12 + 8x + -3x = 0 Combine like terms: -23 + -12 = -35 -35 + 8x + -3x = 0 Combine like terms: 8x + -3x = 5x -35 + 5x = 0 Solving -35 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 5x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 5x = 0 + 35 5x = 0 + 35 Combine like terms: 0 + 35 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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