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Simplifying 2x + 5(x + 3) + -3(x + 4) = 103 Reorder the terms: 2x + 5(3 + x) + -3(x + 4) = 103 2x + (3 * 5 + x * 5) + -3(x + 4) = 103 2x + (15 + 5x) + -3(x + 4) = 103 Reorder the terms: 2x + 15 + 5x + -3(4 + x) = 103 2x + 15 + 5x + (4 * -3 + x * -3) = 103 2x + 15 + 5x + (-12 + -3x) = 103 Reorder the terms: 15 + -12 + 2x + 5x + -3x = 103 Combine like terms: 15 + -12 = 3 3 + 2x + 5x + -3x = 103 Combine like terms: 2x + 5x = 7x 3 + 7x + -3x = 103 Combine like terms: 7x + -3x = 4x 3 + 4x = 103 Solving 3 + 4x = 103 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 103 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 103 + -3 4x = 103 + -3 Combine like terms: 103 + -3 = 100 4x = 100 Divide each side by '4'. x = 25 Simplifying x = 25
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