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Simplifying 5(3x + 1) + 4(2x + -3) = 39 Reorder the terms: 5(1 + 3x) + 4(2x + -3) = 39 (1 * 5 + 3x * 5) + 4(2x + -3) = 39 (5 + 15x) + 4(2x + -3) = 39 Reorder the terms: 5 + 15x + 4(-3 + 2x) = 39 5 + 15x + (-3 * 4 + 2x * 4) = 39 5 + 15x + (-12 + 8x) = 39 Reorder the terms: 5 + -12 + 15x + 8x = 39 Combine like terms: 5 + -12 = -7 -7 + 15x + 8x = 39 Combine like terms: 15x + 8x = 23x -7 + 23x = 39 Solving -7 + 23x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 23x = 39 + 7 Combine like terms: -7 + 7 = 0 0 + 23x = 39 + 7 23x = 39 + 7 Combine like terms: 39 + 7 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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