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Simplifying 5(x + -3) + -3(4x + -2) = 40 Reorder the terms: 5(-3 + x) + -3(4x + -2) = 40 (-3 * 5 + x * 5) + -3(4x + -2) = 40 (-15 + 5x) + -3(4x + -2) = 40 Reorder the terms: -15 + 5x + -3(-2 + 4x) = 40 -15 + 5x + (-2 * -3 + 4x * -3) = 40 -15 + 5x + (6 + -12x) = 40 Reorder the terms: -15 + 6 + 5x + -12x = 40 Combine like terms: -15 + 6 = -9 -9 + 5x + -12x = 40 Combine like terms: 5x + -12x = -7x -9 + -7x = 40 Solving -9 + -7x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -7x = 40 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = 40 + 9 -7x = 40 + 9 Combine like terms: 40 + 9 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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