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Simplifying 3(5x + -2) + 4 = 9x + 6 + -2x Reorder the terms: 3(-2 + 5x) + 4 = 9x + 6 + -2x (-2 * 3 + 5x * 3) + 4 = 9x + 6 + -2x (-6 + 15x) + 4 = 9x + 6 + -2x Reorder the terms: -6 + 4 + 15x = 9x + 6 + -2x Combine like terms: -6 + 4 = -2 -2 + 15x = 9x + 6 + -2x Reorder the terms: -2 + 15x = 6 + 9x + -2x Combine like terms: 9x + -2x = 7x -2 + 15x = 6 + 7x Solving -2 + 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. -2 + 15x + -7x = 6 + 7x + -7x Combine like terms: 15x + -7x = 8x -2 + 8x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + 8x = 6 + 0 -2 + 8x = 6 Add '2' to each side of the equation. -2 + 2 + 8x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 6 + 2 8x = 6 + 2 Combine like terms: 6 + 2 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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