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Simplifying 3(2x + -5) + -1(3x + 4) = x + -9 Reorder the terms: 3(-5 + 2x) + -1(3x + 4) = x + -9 (-5 * 3 + 2x * 3) + -1(3x + 4) = x + -9 (-15 + 6x) + -1(3x + 4) = x + -9 Reorder the terms: -15 + 6x + -1(4 + 3x) = x + -9 -15 + 6x + (4 * -1 + 3x * -1) = x + -9 -15 + 6x + (-4 + -3x) = x + -9 Reorder the terms: -15 + -4 + 6x + -3x = x + -9 Combine like terms: -15 + -4 = -19 -19 + 6x + -3x = x + -9 Combine like terms: 6x + -3x = 3x -19 + 3x = x + -9 Reorder the terms: -19 + 3x = -9 + x Solving -19 + 3x = -9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -19 + 3x + -1x = -9 + x + -1x Combine like terms: 3x + -1x = 2x -19 + 2x = -9 + x + -1x Combine like terms: x + -1x = 0 -19 + 2x = -9 + 0 -19 + 2x = -9 Add '19' to each side of the equation. -19 + 19 + 2x = -9 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = -9 + 19 2x = -9 + 19 Combine like terms: -9 + 19 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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