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Simplifying 2x + 3x + 48 = 10 + -13x + 2 Reorder the terms: 48 + 2x + 3x = 10 + -13x + 2 Combine like terms: 2x + 3x = 5x 48 + 5x = 10 + -13x + 2 Reorder the terms: 48 + 5x = 10 + 2 + -13x Combine like terms: 10 + 2 = 12 48 + 5x = 12 + -13x Solving 48 + 5x = 12 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 48 + 5x + 13x = 12 + -13x + 13x Combine like terms: 5x + 13x = 18x 48 + 18x = 12 + -13x + 13x Combine like terms: -13x + 13x = 0 48 + 18x = 12 + 0 48 + 18x = 12 Add '-48' to each side of the equation. 48 + -48 + 18x = 12 + -48 Combine like terms: 48 + -48 = 0 0 + 18x = 12 + -48 18x = 12 + -48 Combine like terms: 12 + -48 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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