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Simplifying 2x + -45 = 3(5x + -2) Reorder the terms: -45 + 2x = 3(5x + -2) Reorder the terms: -45 + 2x = 3(-2 + 5x) -45 + 2x = (-2 * 3 + 5x * 3) -45 + 2x = (-6 + 15x) Solving -45 + 2x = -6 + 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. -45 + 2x + -15x = -6 + 15x + -15x Combine like terms: 2x + -15x = -13x -45 + -13x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 -45 + -13x = -6 + 0 -45 + -13x = -6 Add '45' to each side of the equation. -45 + 45 + -13x = -6 + 45 Combine like terms: -45 + 45 = 0 0 + -13x = -6 + 45 -13x = -6 + 45 Combine like terms: -6 + 45 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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