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Simplifying 5(x + -7) + 7 = 5x + -7(7 + -1x) Reorder the terms: 5(-7 + x) + 7 = 5x + -7(7 + -1x) (-7 * 5 + x * 5) + 7 = 5x + -7(7 + -1x) (-35 + 5x) + 7 = 5x + -7(7 + -1x) Reorder the terms: -35 + 7 + 5x = 5x + -7(7 + -1x) Combine like terms: -35 + 7 = -28 -28 + 5x = 5x + -7(7 + -1x) -28 + 5x = 5x + (7 * -7 + -1x * -7) -28 + 5x = 5x + (-49 + 7x) Reorder the terms: -28 + 5x = -49 + 5x + 7x Combine like terms: 5x + 7x = 12x -28 + 5x = -49 + 12x Solving -28 + 5x = -49 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -28 + 5x + -12x = -49 + 12x + -12x Combine like terms: 5x + -12x = -7x -28 + -7x = -49 + 12x + -12x Combine like terms: 12x + -12x = 0 -28 + -7x = -49 + 0 -28 + -7x = -49 Add '28' to each side of the equation. -28 + 28 + -7x = -49 + 28 Combine like terms: -28 + 28 = 0 0 + -7x = -49 + 28 -7x = -49 + 28 Combine like terms: -49 + 28 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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