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Simplifying 2(3x + -9) + -10 = 3x + -13 Reorder the terms: 2(-9 + 3x) + -10 = 3x + -13 (-9 * 2 + 3x * 2) + -10 = 3x + -13 (-18 + 6x) + -10 = 3x + -13 Reorder the terms: -18 + -10 + 6x = 3x + -13 Combine like terms: -18 + -10 = -28 -28 + 6x = 3x + -13 Reorder the terms: -28 + 6x = -13 + 3x Solving -28 + 6x = -13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -28 + 6x + -3x = -13 + 3x + -3x Combine like terms: 6x + -3x = 3x -28 + 3x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 3x = -13 + 0 -28 + 3x = -13 Add '28' to each side of the equation. -28 + 28 + 3x = -13 + 28 Combine like terms: -28 + 28 = 0 0 + 3x = -13 + 28 3x = -13 + 28 Combine like terms: -13 + 28 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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