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Simplifying 2(9x + -3) + -30 = 3(2x + 5) Reorder the terms: 2(-3 + 9x) + -30 = 3(2x + 5) (-3 * 2 + 9x * 2) + -30 = 3(2x + 5) (-6 + 18x) + -30 = 3(2x + 5) Reorder the terms: -6 + -30 + 18x = 3(2x + 5) Combine like terms: -6 + -30 = -36 -36 + 18x = 3(2x + 5) Reorder the terms: -36 + 18x = 3(5 + 2x) -36 + 18x = (5 * 3 + 2x * 3) -36 + 18x = (15 + 6x) Solving -36 + 18x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -36 + 18x + -6x = 15 + 6x + -6x Combine like terms: 18x + -6x = 12x -36 + 12x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 12x = 15 + 0 -36 + 12x = 15 Add '36' to each side of the equation. -36 + 36 + 12x = 15 + 36 Combine like terms: -36 + 36 = 0 0 + 12x = 15 + 36 12x = 15 + 36 Combine like terms: 15 + 36 = 51 12x = 51 Divide each side by '12'. x = 4.25 Simplifying x = 4.25
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