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Simplifying 5(2x + 4) + -3(-6 + -1x) = 0 Reorder the terms: 5(4 + 2x) + -3(-6 + -1x) = 0 (4 * 5 + 2x * 5) + -3(-6 + -1x) = 0 (20 + 10x) + -3(-6 + -1x) = 0 20 + 10x + (-6 * -3 + -1x * -3) = 0 20 + 10x + (18 + 3x) = 0 Reorder the terms: 20 + 18 + 10x + 3x = 0 Combine like terms: 20 + 18 = 38 38 + 10x + 3x = 0 Combine like terms: 10x + 3x = 13x 38 + 13x = 0 Solving 38 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 13x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 13x = 0 + -38 13x = 0 + -38 Combine like terms: 0 + -38 = -38 13x = -38 Divide each side by '13'. x = -2.923076923 Simplifying x = -2.923076923
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