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Simplifying -5(4x + -3) + 2x = 15 + -3x Reorder the terms: -5(-3 + 4x) + 2x = 15 + -3x (-3 * -5 + 4x * -5) + 2x = 15 + -3x (15 + -20x) + 2x = 15 + -3x Combine like terms: -20x + 2x = -18x 15 + -18x = 15 + -3x Add '-15' to each side of the equation. 15 + -15 + -18x = 15 + -15 + -3x Combine like terms: 15 + -15 = 0 0 + -18x = 15 + -15 + -3x -18x = 15 + -15 + -3x Combine like terms: 15 + -15 = 0 -18x = 0 + -3x -18x = -3x Solving -18x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -18x + 3x = -3x + 3x Combine like terms: -18x + 3x = -15x -15x = -3x + 3x Combine like terms: -3x + 3x = 0 -15x = 0 Divide each side by '-15'. x = 0 Simplifying x = 0
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