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Simplifying 5(3x + 2) + -4(x + 3) = 42 Reorder the terms: 5(2 + 3x) + -4(x + 3) = 42 (2 * 5 + 3x * 5) + -4(x + 3) = 42 (10 + 15x) + -4(x + 3) = 42 Reorder the terms: 10 + 15x + -4(3 + x) = 42 10 + 15x + (3 * -4 + x * -4) = 42 10 + 15x + (-12 + -4x) = 42 Reorder the terms: 10 + -12 + 15x + -4x = 42 Combine like terms: 10 + -12 = -2 -2 + 15x + -4x = 42 Combine like terms: 15x + -4x = 11x -2 + 11x = 42 Solving -2 + 11x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 11x = 42 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 42 + 2 11x = 42 + 2 Combine like terms: 42 + 2 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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