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Simplifying 2x + -3 = 5(3x + 2) Reorder the terms: -3 + 2x = 5(3x + 2) Reorder the terms: -3 + 2x = 5(2 + 3x) -3 + 2x = (2 * 5 + 3x * 5) -3 + 2x = (10 + 15x) Solving -3 + 2x = 10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -3 + 2x + -15x = 10 + 15x + -15x Combine like terms: 2x + -15x = -13x -3 + -13x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 -3 + -13x = 10 + 0 -3 + -13x = 10 Add '3' to each side of the equation. -3 + 3 + -13x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -13x = 10 + 3 -13x = 10 + 3 Combine like terms: 10 + 3 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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