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Simplifying 5(3x + -7) + 2 = 7x + 7 Reorder the terms: 5(-7 + 3x) + 2 = 7x + 7 (-7 * 5 + 3x * 5) + 2 = 7x + 7 (-35 + 15x) + 2 = 7x + 7 Reorder the terms: -35 + 2 + 15x = 7x + 7 Combine like terms: -35 + 2 = -33 -33 + 15x = 7x + 7 Reorder the terms: -33 + 15x = 7 + 7x Solving -33 + 15x = 7 + 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. -33 + 15x + -7x = 7 + 7x + -7x Combine like terms: 15x + -7x = 8x -33 + 8x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -33 + 8x = 7 + 0 -33 + 8x = 7 Add '33' to each side of the equation. -33 + 33 + 8x = 7 + 33 Combine like terms: -33 + 33 = 0 0 + 8x = 7 + 33 8x = 7 + 33 Combine like terms: 7 + 33 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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