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Simplifying 4x + -4 = 7 + 5(x + -7) Reorder the terms: -4 + 4x = 7 + 5(x + -7) Reorder the terms: -4 + 4x = 7 + 5(-7 + x) -4 + 4x = 7 + (-7 * 5 + x * 5) -4 + 4x = 7 + (-35 + 5x) Combine like terms: 7 + -35 = -28 -4 + 4x = -28 + 5x Solving -4 + 4x = -28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 4x + -5x = -28 + 5x + -5x Combine like terms: 4x + -5x = -1x -4 + -1x = -28 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -1x = -28 + 0 -4 + -1x = -28 Add '4' to each side of the equation. -4 + 4 + -1x = -28 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -28 + 4 -1x = -28 + 4 Combine like terms: -28 + 4 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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