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