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Simplifying 3(x + 5) + -2(3x + 1) = 0 Reorder the terms: 3(5 + x) + -2(3x + 1) = 0 (5 * 3 + x * 3) + -2(3x + 1) = 0 (15 + 3x) + -2(3x + 1) = 0 Reorder the terms: 15 + 3x + -2(1 + 3x) = 0 15 + 3x + (1 * -2 + 3x * -2) = 0 15 + 3x + (-2 + -6x) = 0 Reorder the terms: 15 + -2 + 3x + -6x = 0 Combine like terms: 15 + -2 = 13 13 + 3x + -6x = 0 Combine like terms: 3x + -6x = -3x 13 + -3x = 0 Solving 13 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 0 + -13 -3x = 0 + -13 Combine like terms: 0 + -13 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333
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