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Simplifying 3(5x + -2) = 9x + 6 + -2x Reorder the terms: 3(-2 + 5x) = 9x + 6 + -2x (-2 * 3 + 5x * 3) = 9x + 6 + -2x (-6 + 15x) = 9x + 6 + -2x Reorder the terms: -6 + 15x = 6 + 9x + -2x Combine like terms: 9x + -2x = 7x -6 + 15x = 6 + 7x Solving -6 + 15x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 15x + -7x = 6 + 7x + -7x Combine like terms: 15x + -7x = 8x -6 + 8x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 8x = 6 + 0 -6 + 8x = 6 Add '6' to each side of the equation. -6 + 6 + 8x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 6 + 6 8x = 6 + 6 Combine like terms: 6 + 6 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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