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Simplifying 7 + -3(5x + -10) = 5 + -3(10 + -9x) Reorder the terms: 7 + -3(-10 + 5x) = 5 + -3(10 + -9x) 7 + (-10 * -3 + 5x * -3) = 5 + -3(10 + -9x) 7 + (30 + -15x) = 5 + -3(10 + -9x) Combine like terms: 7 + 30 = 37 37 + -15x = 5 + -3(10 + -9x) 37 + -15x = 5 + (10 * -3 + -9x * -3) 37 + -15x = 5 + (-30 + 27x) Combine like terms: 5 + -30 = -25 37 + -15x = -25 + 27x Solving 37 + -15x = -25 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 37 + -15x + -27x = -25 + 27x + -27x Combine like terms: -15x + -27x = -42x 37 + -42x = -25 + 27x + -27x Combine like terms: 27x + -27x = 0 37 + -42x = -25 + 0 37 + -42x = -25 Add '-37' to each side of the equation. 37 + -37 + -42x = -25 + -37 Combine like terms: 37 + -37 = 0 0 + -42x = -25 + -37 -42x = -25 + -37 Combine like terms: -25 + -37 = -62 -42x = -62 Divide each side by '-42'. x = 1.476190476 Simplifying x = 1.476190476
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