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Simplifying 3(2x + -5) = 9(10 + -1x) Reorder the terms: 3(-5 + 2x) = 9(10 + -1x) (-5 * 3 + 2x * 3) = 9(10 + -1x) (-15 + 6x) = 9(10 + -1x) -15 + 6x = (10 * 9 + -1x * 9) -15 + 6x = (90 + -9x) Solving -15 + 6x = 90 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -15 + 6x + 9x = 90 + -9x + 9x Combine like terms: 6x + 9x = 15x -15 + 15x = 90 + -9x + 9x Combine like terms: -9x + 9x = 0 -15 + 15x = 90 + 0 -15 + 15x = 90 Add '15' to each side of the equation. -15 + 15 + 15x = 90 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = 90 + 15 15x = 90 + 15 Combine like terms: 90 + 15 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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