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Simplifying 5(3x + 1) + -4(x + 3) = 15 Reorder the terms: 5(1 + 3x) + -4(x + 3) = 15 (1 * 5 + 3x * 5) + -4(x + 3) = 15 (5 + 15x) + -4(x + 3) = 15 Reorder the terms: 5 + 15x + -4(3 + x) = 15 5 + 15x + (3 * -4 + x * -4) = 15 5 + 15x + (-12 + -4x) = 15 Reorder the terms: 5 + -12 + 15x + -4x = 15 Combine like terms: 5 + -12 = -7 -7 + 15x + -4x = 15 Combine like terms: 15x + -4x = 11x -7 + 11x = 15 Solving -7 + 11x = 15 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 + 11x = 15 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 15 + 7 11x = 15 + 7 Combine like terms: 15 + 7 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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