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Simplifying 5(4 + -3x) + 7 + 2x = 46 (4 * 5 + -3x * 5) + 7 + 2x = 46 (20 + -15x) + 7 + 2x = 46 Reorder the terms: 20 + 7 + -15x + 2x = 46 Combine like terms: 20 + 7 = 27 27 + -15x + 2x = 46 Combine like terms: -15x + 2x = -13x 27 + -13x = 46 Solving 27 + -13x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -13x = 46 + -27 Combine like terms: 27 + -27 = 0 0 + -13x = 46 + -27 -13x = 46 + -27 Combine like terms: 46 + -27 = 19 -13x = 19 Divide each side by '-13'. x = -1.461538462 Simplifying x = -1.461538462
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