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Simplifying 3(2x + -5) + -1(4x + -9) = 3x + 1 Reorder the terms: 3(-5 + 2x) + -1(4x + -9) = 3x + 1 (-5 * 3 + 2x * 3) + -1(4x + -9) = 3x + 1 (-15 + 6x) + -1(4x + -9) = 3x + 1 Reorder the terms: -15 + 6x + -1(-9 + 4x) = 3x + 1 -15 + 6x + (-9 * -1 + 4x * -1) = 3x + 1 -15 + 6x + (9 + -4x) = 3x + 1 Reorder the terms: -15 + 9 + 6x + -4x = 3x + 1 Combine like terms: -15 + 9 = -6 -6 + 6x + -4x = 3x + 1 Combine like terms: 6x + -4x = 2x -6 + 2x = 3x + 1 Reorder the terms: -6 + 2x = 1 + 3x Solving -6 + 2x = 1 + 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. -6 + 2x + -3x = 1 + 3x + -3x Combine like terms: 2x + -3x = -1x -6 + -1x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -1x = 1 + 0 -6 + -1x = 1 Add '6' to each side of the equation. -6 + 6 + -1x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 1 + 6 -1x = 1 + 6 Combine like terms: 1 + 6 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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