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Simplifying 5x + -10 + -3x + -12 = 6x + -48 Reorder the terms: -10 + -12 + 5x + -3x = 6x + -48 Combine like terms: -10 + -12 = -22 -22 + 5x + -3x = 6x + -48 Combine like terms: 5x + -3x = 2x -22 + 2x = 6x + -48 Reorder the terms: -22 + 2x = -48 + 6x Solving -22 + 2x = -48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -22 + 2x + -6x = -48 + 6x + -6x Combine like terms: 2x + -6x = -4x -22 + -4x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -22 + -4x = -48 + 0 -22 + -4x = -48 Add '22' to each side of the equation. -22 + 22 + -4x = -48 + 22 Combine like terms: -22 + 22 = 0 0 + -4x = -48 + 22 -4x = -48 + 22 Combine like terms: -48 + 22 = -26 -4x = -26 Divide each side by '-4'. x = 6.5 Simplifying x = 6.5
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