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Simplifying 4(x + 5) + -7(x + -4) = 0 Reorder the terms: 4(5 + x) + -7(x + -4) = 0 (5 * 4 + x * 4) + -7(x + -4) = 0 (20 + 4x) + -7(x + -4) = 0 Reorder the terms: 20 + 4x + -7(-4 + x) = 0 20 + 4x + (-4 * -7 + x * -7) = 0 20 + 4x + (28 + -7x) = 0 Reorder the terms: 20 + 28 + 4x + -7x = 0 Combine like terms: 20 + 28 = 48 48 + 4x + -7x = 0 Combine like terms: 4x + -7x = -3x 48 + -3x = 0 Solving 48 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -3x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -3x = 0 + -48 -3x = 0 + -48 Combine like terms: 0 + -48 = -48 -3x = -48 Divide each side by '-3'. x = 16 Simplifying x = 16
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