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Simplifying 8x + -3(2x + -5) = 45 + -4(3x + -10) Reorder the terms: 8x + -3(-5 + 2x) = 45 + -4(3x + -10) 8x + (-5 * -3 + 2x * -3) = 45 + -4(3x + -10) 8x + (15 + -6x) = 45 + -4(3x + -10) Reorder the terms: 15 + 8x + -6x = 45 + -4(3x + -10) Combine like terms: 8x + -6x = 2x 15 + 2x = 45 + -4(3x + -10) Reorder the terms: 15 + 2x = 45 + -4(-10 + 3x) 15 + 2x = 45 + (-10 * -4 + 3x * -4) 15 + 2x = 45 + (40 + -12x) Combine like terms: 45 + 40 = 85 15 + 2x = 85 + -12x Solving 15 + 2x = 85 + -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. 15 + 2x + 12x = 85 + -12x + 12x Combine like terms: 2x + 12x = 14x 15 + 14x = 85 + -12x + 12x Combine like terms: -12x + 12x = 0 15 + 14x = 85 + 0 15 + 14x = 85 Add '-15' to each side of the equation. 15 + -15 + 14x = 85 + -15 Combine like terms: 15 + -15 = 0 0 + 14x = 85 + -15 14x = 85 + -15 Combine like terms: 85 + -15 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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