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Simplifying 3(2x + -5) + 2x = 30 + -1x Reorder the terms: 3(-5 + 2x) + 2x = 30 + -1x (-5 * 3 + 2x * 3) + 2x = 30 + -1x (-15 + 6x) + 2x = 30 + -1x Combine like terms: 6x + 2x = 8x -15 + 8x = 30 + -1x Solving -15 + 8x = 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. -15 + 8x + x = 30 + -1x + x Combine like terms: 8x + x = 9x -15 + 9x = 30 + -1x + x Combine like terms: -1x + x = 0 -15 + 9x = 30 + 0 -15 + 9x = 30 Add '15' to each side of the equation. -15 + 15 + 9x = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = 30 + 15 9x = 30 + 15 Combine like terms: 30 + 15 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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