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Simplifying 10 + -3(x + 5) = 40 + 2x Reorder the terms: 10 + -3(5 + x) = 40 + 2x 10 + (5 * -3 + x * -3) = 40 + 2x 10 + (-15 + -3x) = 40 + 2x Combine like terms: 10 + -15 = -5 -5 + -3x = 40 + 2x Solving -5 + -3x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + -3x + -2x = 40 + 2x + -2x Combine like terms: -3x + -2x = -5x -5 + -5x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -5x = 40 + 0 -5 + -5x = 40 Add '5' to each side of the equation. -5 + 5 + -5x = 40 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 40 + 5 -5x = 40 + 5 Combine like terms: 40 + 5 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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