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Simplifying (3(2x + 5)) + -1(4(x + 3)) = 0 Reorder the terms: (3(5 + 2x)) + -1(4(x + 3)) = 0 ((5 * 3 + 2x * 3)) + -1(4(x + 3)) = 0 ((15 + 6x)) + -1(4(x + 3)) = 0 (15 + 6x) + -1(4(x + 3)) = 0 Remove parenthesis around (15 + 6x) 15 + 6x + -1(4(x + 3)) = 0 Reorder the terms: 15 + 6x + -1(4(3 + x)) = 0 15 + 6x + -1((3 * 4 + x * 4)) = 0 15 + 6x + -1((12 + 4x)) = 0 15 + 6x + (12 * -1 + 4x * -1) = 0 15 + 6x + (-12 + -4x) = 0 Reorder the terms: 15 + -12 + 6x + -4x = 0 Combine like terms: 15 + -12 = 3 3 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 3 + 2x = 0 Solving 3 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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