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Simplifying 2(2x + 3) + -7x = 18 + 5(x + 3x) Reorder the terms: 2(3 + 2x) + -7x = 18 + 5(x + 3x) (3 * 2 + 2x * 2) + -7x = 18 + 5(x + 3x) (6 + 4x) + -7x = 18 + 5(x + 3x) Combine like terms: 4x + -7x = -3x 6 + -3x = 18 + 5(x + 3x) Combine like terms: x + 3x = 4x 6 + -3x = 18 + 5(4x) Remove parenthesis around (4x) 6 + -3x = 18 + 5 * 4x Multiply 5 * 4 6 + -3x = 18 + 20x Solving 6 + -3x = 18 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + -3x + -20x = 18 + 20x + -20x Combine like terms: -3x + -20x = -23x 6 + -23x = 18 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -23x = 18 + 0 6 + -23x = 18 Add '-6' to each side of the equation. 6 + -6 + -23x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -23x = 18 + -6 -23x = 18 + -6 Combine like terms: 18 + -6 = 12 -23x = 12 Divide each side by '-23'. x = -0.5217391304 Simplifying x = -0.5217391304
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