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