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Simplifying 15x + -3(3x + -2) = 45 + -5(2x + -5) Reorder the terms: 15x + -3(-2 + 3x) = 45 + -5(2x + -5) 15x + (-2 * -3 + 3x * -3) = 45 + -5(2x + -5) 15x + (6 + -9x) = 45 + -5(2x + -5) Reorder the terms: 6 + 15x + -9x = 45 + -5(2x + -5) Combine like terms: 15x + -9x = 6x 6 + 6x = 45 + -5(2x + -5) Reorder the terms: 6 + 6x = 45 + -5(-5 + 2x) 6 + 6x = 45 + (-5 * -5 + 2x * -5) 6 + 6x = 45 + (25 + -10x) Combine like terms: 45 + 25 = 70 6 + 6x = 70 + -10x Solving 6 + 6x = 70 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 6 + 6x + 10x = 70 + -10x + 10x Combine like terms: 6x + 10x = 16x 6 + 16x = 70 + -10x + 10x Combine like terms: -10x + 10x = 0 6 + 16x = 70 + 0 6 + 16x = 70 Add '-6' to each side of the equation. 6 + -6 + 16x = 70 + -6 Combine like terms: 6 + -6 = 0 0 + 16x = 70 + -6 16x = 70 + -6 Combine like terms: 70 + -6 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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