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Simplifying 10(7x + -3(2x + 5)) + -5(x + 1) = 45 Reorder the terms: 10(7x + -3(5 + 2x)) + -5(x + 1) = 45 10(7x + (5 * -3 + 2x * -3)) + -5(x + 1) = 45 10(7x + (-15 + -6x)) + -5(x + 1) = 45 Reorder the terms: 10(-15 + 7x + -6x) + -5(x + 1) = 45 Combine like terms: 7x + -6x = 1x 10(-15 + 1x) + -5(x + 1) = 45 (-15 * 10 + 1x * 10) + -5(x + 1) = 45 (-150 + 10x) + -5(x + 1) = 45 Reorder the terms: -150 + 10x + -5(1 + x) = 45 -150 + 10x + (1 * -5 + x * -5) = 45 -150 + 10x + (-5 + -5x) = 45 Reorder the terms: -150 + -5 + 10x + -5x = 45 Combine like terms: -150 + -5 = -155 -155 + 10x + -5x = 45 Combine like terms: 10x + -5x = 5x -155 + 5x = 45 Solving -155 + 5x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '155' to each side of the equation. -155 + 155 + 5x = 45 + 155 Combine like terms: -155 + 155 = 0 0 + 5x = 45 + 155 5x = 45 + 155 Combine like terms: 45 + 155 = 200 5x = 200 Divide each side by '5'. x = 40 Simplifying x = 40
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