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Simplifying 15(x + -2) = 3(2x + 8) Reorder the terms: 15(-2 + x) = 3(2x + 8) (-2 * 15 + x * 15) = 3(2x + 8) (-30 + 15x) = 3(2x + 8) Reorder the terms: -30 + 15x = 3(8 + 2x) -30 + 15x = (8 * 3 + 2x * 3) -30 + 15x = (24 + 6x) Solving -30 + 15x = 24 + 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. -30 + 15x + -6x = 24 + 6x + -6x Combine like terms: 15x + -6x = 9x -30 + 9x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 9x = 24 + 0 -30 + 9x = 24 Add '30' to each side of the equation. -30 + 30 + 9x = 24 + 30 Combine like terms: -30 + 30 = 0 0 + 9x = 24 + 30 9x = 24 + 30 Combine like terms: 24 + 30 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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