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Simplifying 3(4x + -2) + 5x = 30 + -1x Reorder the terms: 3(-2 + 4x) + 5x = 30 + -1x (-2 * 3 + 4x * 3) + 5x = 30 + -1x (-6 + 12x) + 5x = 30 + -1x Combine like terms: 12x + 5x = 17x -6 + 17x = 30 + -1x Solving -6 + 17x = 30 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 17x + x = 30 + -1x + x Combine like terms: 17x + x = 18x -6 + 18x = 30 + -1x + x Combine like terms: -1x + x = 0 -6 + 18x = 30 + 0 -6 + 18x = 30 Add '6' to each side of the equation. -6 + 6 + 18x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 30 + 6 18x = 30 + 6 Combine like terms: 30 + 6 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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