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Simplifying 5x + -7 = 9 + 4(x + -2) Reorder the terms: -7 + 5x = 9 + 4(x + -2) Reorder the terms: -7 + 5x = 9 + 4(-2 + x) -7 + 5x = 9 + (-2 * 4 + x * 4) -7 + 5x = 9 + (-8 + 4x) Combine like terms: 9 + -8 = 1 -7 + 5x = 1 + 4x Solving -7 + 5x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 5x + -4x = 1 + 4x + -4x Combine like terms: 5x + -4x = 1x -7 + 1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 1x = 1 + 0 -7 + 1x = 1 Add '7' to each side of the equation. -7 + 7 + 1x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 1 + 7 1x = 1 + 7 Combine like terms: 1 + 7 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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