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Simplifying 5x + -9 = 4x + -7 + 2(x + 1) Reorder the terms: -9 + 5x = 4x + -7 + 2(x + 1) Reorder the terms: -9 + 5x = 4x + -7 + 2(1 + x) -9 + 5x = 4x + -7 + (1 * 2 + x * 2) -9 + 5x = 4x + -7 + (2 + 2x) Reorder the terms: -9 + 5x = -7 + 2 + 4x + 2x Combine like terms: -7 + 2 = -5 -9 + 5x = -5 + 4x + 2x Combine like terms: 4x + 2x = 6x -9 + 5x = -5 + 6x Solving -9 + 5x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 5x + -6x = -5 + 6x + -6x Combine like terms: 5x + -6x = -1x -9 + -1x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -1x = -5 + 0 -9 + -1x = -5 Add '9' to each side of the equation. -9 + 9 + -1x = -5 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -5 + 9 -1x = -5 + 9 Combine like terms: -5 + 9 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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