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Simplifying 5(x + -3) + 4(x + -2) = 7 Reorder the terms: 5(-3 + x) + 4(x + -2) = 7 (-3 * 5 + x * 5) + 4(x + -2) = 7 (-15 + 5x) + 4(x + -2) = 7 Reorder the terms: -15 + 5x + 4(-2 + x) = 7 -15 + 5x + (-2 * 4 + x * 4) = 7 -15 + 5x + (-8 + 4x) = 7 Reorder the terms: -15 + -8 + 5x + 4x = 7 Combine like terms: -15 + -8 = -23 -23 + 5x + 4x = 7 Combine like terms: 5x + 4x = 9x -23 + 9x = 7 Solving -23 + 9x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 9x = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 9x = 7 + 23 9x = 7 + 23 Combine like terms: 7 + 23 = 30 9x = 30 Divide each side by '9'. x = 3.333333333 Simplifying x = 3.333333333
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