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Simplifying 5x + -6 + -7x = 4(x + -1) + 22 Reorder the terms: -6 + 5x + -7x = 4(x + -1) + 22 Combine like terms: 5x + -7x = -2x -6 + -2x = 4(x + -1) + 22 Reorder the terms: -6 + -2x = 4(-1 + x) + 22 -6 + -2x = (-1 * 4 + x * 4) + 22 -6 + -2x = (-4 + 4x) + 22 Reorder the terms: -6 + -2x = -4 + 22 + 4x Combine like terms: -4 + 22 = 18 -6 + -2x = 18 + 4x Solving -6 + -2x = 18 + 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. -6 + -2x + -4x = 18 + 4x + -4x Combine like terms: -2x + -4x = -6x -6 + -6x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -6x = 18 + 0 -6 + -6x = 18 Add '6' to each side of the equation. -6 + 6 + -6x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 18 + 6 -6x = 18 + 6 Combine like terms: 18 + 6 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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