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Simplifying 2(2x + 3) + -7x = 23 + -5x + 15x Reorder the terms: 2(3 + 2x) + -7x = 23 + -5x + 15x (3 * 2 + 2x * 2) + -7x = 23 + -5x + 15x (6 + 4x) + -7x = 23 + -5x + 15x Combine like terms: 4x + -7x = -3x 6 + -3x = 23 + -5x + 15x Combine like terms: -5x + 15x = 10x 6 + -3x = 23 + 10x Solving 6 + -3x = 23 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + -3x + -10x = 23 + 10x + -10x Combine like terms: -3x + -10x = -13x 6 + -13x = 23 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -13x = 23 + 0 6 + -13x = 23 Add '-6' to each side of the equation. 6 + -6 + -13x = 23 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = 23 + -6 -13x = 23 + -6 Combine like terms: 23 + -6 = 17 -13x = 17 Divide each side by '-13'. x = -1.307692308 Simplifying x = -1.307692308
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