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Simplifying 4(x + -3) + 3(x + -5) = 15 Reorder the terms: 4(-3 + x) + 3(x + -5) = 15 (-3 * 4 + x * 4) + 3(x + -5) = 15 (-12 + 4x) + 3(x + -5) = 15 Reorder the terms: -12 + 4x + 3(-5 + x) = 15 -12 + 4x + (-5 * 3 + x * 3) = 15 -12 + 4x + (-15 + 3x) = 15 Reorder the terms: -12 + -15 + 4x + 3x = 15 Combine like terms: -12 + -15 = -27 -27 + 4x + 3x = 15 Combine like terms: 4x + 3x = 7x -27 + 7x = 15 Solving -27 + 7x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 7x = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = 15 + 27 7x = 15 + 27 Combine like terms: 15 + 27 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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