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Simplifying 4x + -22 = -5x + 8(x + -2) Reorder the terms: -22 + 4x = -5x + 8(x + -2) Reorder the terms: -22 + 4x = -5x + 8(-2 + x) -22 + 4x = -5x + (-2 * 8 + x * 8) -22 + 4x = -5x + (-16 + 8x) Reorder the terms: -22 + 4x = -16 + -5x + 8x Combine like terms: -5x + 8x = 3x -22 + 4x = -16 + 3x Solving -22 + 4x = -16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -22 + 4x + -3x = -16 + 3x + -3x Combine like terms: 4x + -3x = 1x -22 + 1x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 -22 + 1x = -16 + 0 -22 + 1x = -16 Add '22' to each side of the equation. -22 + 22 + 1x = -16 + 22 Combine like terms: -22 + 22 = 0 0 + 1x = -16 + 22 1x = -16 + 22 Combine like terms: -16 + 22 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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