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Simplifying 4(2x + 6) + -5(x + 8) = x + -22 Reorder the terms: 4(6 + 2x) + -5(x + 8) = x + -22 (6 * 4 + 2x * 4) + -5(x + 8) = x + -22 (24 + 8x) + -5(x + 8) = x + -22 Reorder the terms: 24 + 8x + -5(8 + x) = x + -22 24 + 8x + (8 * -5 + x * -5) = x + -22 24 + 8x + (-40 + -5x) = x + -22 Reorder the terms: 24 + -40 + 8x + -5x = x + -22 Combine like terms: 24 + -40 = -16 -16 + 8x + -5x = x + -22 Combine like terms: 8x + -5x = 3x -16 + 3x = x + -22 Reorder the terms: -16 + 3x = -22 + x Solving -16 + 3x = -22 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + 3x + -1x = -22 + x + -1x Combine like terms: 3x + -1x = 2x -16 + 2x = -22 + x + -1x Combine like terms: x + -1x = 0 -16 + 2x = -22 + 0 -16 + 2x = -22 Add '16' to each side of the equation. -16 + 16 + 2x = -22 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -22 + 16 2x = -22 + 16 Combine like terms: -22 + 16 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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