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Simplifying -3(x + -2) + -5(3x + -2) + 74 = 0 Reorder the terms: -3(-2 + x) + -5(3x + -2) + 74 = 0 (-2 * -3 + x * -3) + -5(3x + -2) + 74 = 0 (6 + -3x) + -5(3x + -2) + 74 = 0 Reorder the terms: 6 + -3x + -5(-2 + 3x) + 74 = 0 6 + -3x + (-2 * -5 + 3x * -5) + 74 = 0 6 + -3x + (10 + -15x) + 74 = 0 Reorder the terms: 6 + 10 + 74 + -3x + -15x = 0 Combine like terms: 6 + 10 = 16 16 + 74 + -3x + -15x = 0 Combine like terms: 16 + 74 = 90 90 + -3x + -15x = 0 Combine like terms: -3x + -15x = -18x 90 + -18x = 0 Solving 90 + -18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -18x = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -18x = 0 + -90 -18x = 0 + -90 Combine like terms: 0 + -90 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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