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Simplifying 3(2x + -5) + 6 = 10 + -3x Reorder the terms: 3(-5 + 2x) + 6 = 10 + -3x (-5 * 3 + 2x * 3) + 6 = 10 + -3x (-15 + 6x) + 6 = 10 + -3x Reorder the terms: -15 + 6 + 6x = 10 + -3x Combine like terms: -15 + 6 = -9 -9 + 6x = 10 + -3x Solving -9 + 6x = 10 + -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. -9 + 6x + 3x = 10 + -3x + 3x Combine like terms: 6x + 3x = 9x -9 + 9x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 9x = 10 + 0 -9 + 9x = 10 Add '9' to each side of the equation. -9 + 9 + 9x = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = 10 + 9 9x = 10 + 9 Combine like terms: 10 + 9 = 19 9x = 19 Divide each side by '9'. x = 2.111111111 Simplifying x = 2.111111111
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