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Simplifying 5(3x + 9) + -2x = 15x + -21x + -5 Reorder the terms: 5(9 + 3x) + -2x = 15x + -21x + -5 (9 * 5 + 3x * 5) + -2x = 15x + -21x + -5 (45 + 15x) + -2x = 15x + -21x + -5 Combine like terms: 15x + -2x = 13x 45 + 13x = 15x + -21x + -5 Reorder the terms: 45 + 13x = -5 + 15x + -21x Combine like terms: 15x + -21x = -6x 45 + 13x = -5 + -6x Solving 45 + 13x = -5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 45 + 13x + 6x = -5 + -6x + 6x Combine like terms: 13x + 6x = 19x 45 + 19x = -5 + -6x + 6x Combine like terms: -6x + 6x = 0 45 + 19x = -5 + 0 45 + 19x = -5 Add '-45' to each side of the equation. 45 + -45 + 19x = -5 + -45 Combine like terms: 45 + -45 = 0 0 + 19x = -5 + -45 19x = -5 + -45 Combine like terms: -5 + -45 = -50 19x = -50 Divide each side by '19'. x = -2.631578947 Simplifying x = -2.631578947
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