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Simplifying 3(5x + -2) + 4x = 9 + 6 + -2x Reorder the terms: 3(-2 + 5x) + 4x = 9 + 6 + -2x (-2 * 3 + 5x * 3) + 4x = 9 + 6 + -2x (-6 + 15x) + 4x = 9 + 6 + -2x Combine like terms: 15x + 4x = 19x -6 + 19x = 9 + 6 + -2x Combine like terms: 9 + 6 = 15 -6 + 19x = 15 + -2x Solving -6 + 19x = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 19x + 2x = 15 + -2x + 2x Combine like terms: 19x + 2x = 21x -6 + 21x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 21x = 15 + 0 -6 + 21x = 15 Add '6' to each side of the equation. -6 + 6 + 21x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 21x = 15 + 6 21x = 15 + 6 Combine like terms: 15 + 6 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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