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Simplifying 7(2x + -5) = (3x + 1) * 5 Reorder the terms: 7(-5 + 2x) = (3x + 1) * 5 (-5 * 7 + 2x * 7) = (3x + 1) * 5 (-35 + 14x) = (3x + 1) * 5 Reorder the terms: -35 + 14x = (1 + 3x) * 5 Reorder the terms for easier multiplication: -35 + 14x = 5(1 + 3x) -35 + 14x = (1 * 5 + 3x * 5) -35 + 14x = (5 + 15x) Solving -35 + 14x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -35 + 14x + -15x = 5 + 15x + -15x Combine like terms: 14x + -15x = -1x -35 + -1x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 -35 + -1x = 5 + 0 -35 + -1x = 5 Add '35' to each side of the equation. -35 + 35 + -1x = 5 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = 5 + 35 -1x = 5 + 35 Combine like terms: 5 + 35 = 40 -1x = 40 Divide each side by '-1'. x = -40 Simplifying x = -40
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