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Simplifying 3(2x + -5) + -1x = 2x + -48 Reorder the terms: 3(-5 + 2x) + -1x = 2x + -48 (-5 * 3 + 2x * 3) + -1x = 2x + -48 (-15 + 6x) + -1x = 2x + -48 Combine like terms: 6x + -1x = 5x -15 + 5x = 2x + -48 Reorder the terms: -15 + 5x = -48 + 2x Solving -15 + 5x = -48 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 5x + -2x = -48 + 2x + -2x Combine like terms: 5x + -2x = 3x -15 + 3x = -48 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 3x = -48 + 0 -15 + 3x = -48 Add '15' to each side of the equation. -15 + 15 + 3x = -48 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = -48 + 15 3x = -48 + 15 Combine like terms: -48 + 15 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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