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Simplifying 5(3x + 9) + -2x = 14x + -2x + -5 Reorder the terms: 5(9 + 3x) + -2x = 14x + -2x + -5 (9 * 5 + 3x * 5) + -2x = 14x + -2x + -5 (45 + 15x) + -2x = 14x + -2x + -5 Combine like terms: 15x + -2x = 13x 45 + 13x = 14x + -2x + -5 Reorder the terms: 45 + 13x = -5 + 14x + -2x Combine like terms: 14x + -2x = 12x 45 + 13x = -5 + 12x Solving 45 + 13x = -5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 45 + 13x + -12x = -5 + 12x + -12x Combine like terms: 13x + -12x = 1x 45 + 1x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 45 + 1x = -5 + 0 45 + 1x = -5 Add '-45' to each side of the equation. 45 + -45 + 1x = -5 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = -5 + -45 1x = -5 + -45 Combine like terms: -5 + -45 = -50 1x = -50 Divide each side by '1'. x = -50 Simplifying x = -50
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