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Simplifying 3(2x + -5) = 1 + 7x Reorder the terms: 3(-5 + 2x) = 1 + 7x (-5 * 3 + 2x * 3) = 1 + 7x (-15 + 6x) = 1 + 7x Solving -15 + 6x = 1 + 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. -15 + 6x + -7x = 1 + 7x + -7x Combine like terms: 6x + -7x = -1x -15 + -1x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -1x = 1 + 0 -15 + -1x = 1 Add '15' to each side of the equation. -15 + 15 + -1x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 1 + 15 -1x = 1 + 15 Combine like terms: 1 + 15 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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