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Simplifying 5(2x + 3) + -3(4x) = 15(1) Reorder the terms: 5(3 + 2x) + -3(4x) = 15(1) (3 * 5 + 2x * 5) + -3(4x) = 15(1) (15 + 10x) + -3(4x) = 15(1) Remove parenthesis around (4x) 15 + 10x + -3 * 4x = 15(1) Multiply -3 * 4 15 + 10x + -12x = 15(1) Combine like terms: 10x + -12x = -2x 15 + -2x = 15(1) Multiply 15 * 1 15 + -2x = 15 Add '-15' to each side of the equation. 15 + -15 + -2x = 15 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 15 + -15 -2x = 15 + -15 Combine like terms: 15 + -15 = 0 -2x = 0 Solving -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-2'. x = 0 Simplifying x = 0
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