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Simplifying 4(x + 5) + -3(2x + -4) = 0 Reorder the terms: 4(5 + x) + -3(2x + -4) = 0 (5 * 4 + x * 4) + -3(2x + -4) = 0 (20 + 4x) + -3(2x + -4) = 0 Reorder the terms: 20 + 4x + -3(-4 + 2x) = 0 20 + 4x + (-4 * -3 + 2x * -3) = 0 20 + 4x + (12 + -6x) = 0 Reorder the terms: 20 + 12 + 4x + -6x = 0 Combine like terms: 20 + 12 = 32 32 + 4x + -6x = 0 Combine like terms: 4x + -6x = -2x 32 + -2x = 0 Solving 32 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -2x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = 0 + -32 -2x = 0 + -32 Combine like terms: 0 + -32 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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