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Simplifying -5(2x + -3) + 14 = 30x + -5 + 15x Reorder the terms: -5(-3 + 2x) + 14 = 30x + -5 + 15x (-3 * -5 + 2x * -5) + 14 = 30x + -5 + 15x (15 + -10x) + 14 = 30x + -5 + 15x Reorder the terms: 15 + 14 + -10x = 30x + -5 + 15x Combine like terms: 15 + 14 = 29 29 + -10x = 30x + -5 + 15x Reorder the terms: 29 + -10x = -5 + 30x + 15x Combine like terms: 30x + 15x = 45x 29 + -10x = -5 + 45x Solving 29 + -10x = -5 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 29 + -10x + -45x = -5 + 45x + -45x Combine like terms: -10x + -45x = -55x 29 + -55x = -5 + 45x + -45x Combine like terms: 45x + -45x = 0 29 + -55x = -5 + 0 29 + -55x = -5 Add '-29' to each side of the equation. 29 + -29 + -55x = -5 + -29 Combine like terms: 29 + -29 = 0 0 + -55x = -5 + -29 -55x = -5 + -29 Combine like terms: -5 + -29 = -34 -55x = -34 Divide each side by '-55'. x = 0.6181818182 Simplifying x = 0.6181818182
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