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Simplifying 4(7 + -1x) + 5(4 + 2x) = 0 (7 * 4 + -1x * 4) + 5(4 + 2x) = 0 (28 + -4x) + 5(4 + 2x) = 0 28 + -4x + (4 * 5 + 2x * 5) = 0 28 + -4x + (20 + 10x) = 0 Reorder the terms: 28 + 20 + -4x + 10x = 0 Combine like terms: 28 + 20 = 48 48 + -4x + 10x = 0 Combine like terms: -4x + 10x = 6x 48 + 6x = 0 Solving 48 + 6x = 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 + 6x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 0 + -48 6x = 0 + -48 Combine like terms: 0 + -48 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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