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Simplifying -3x + -22(x + 5) = -3(8x + 8) Reorder the terms: -3x + -22(5 + x) = -3(8x + 8) -3x + (5 * -22 + x * -22) = -3(8x + 8) -3x + (-110 + -22x) = -3(8x + 8) Reorder the terms: -110 + -3x + -22x = -3(8x + 8) Combine like terms: -3x + -22x = -25x -110 + -25x = -3(8x + 8) Reorder the terms: -110 + -25x = -3(8 + 8x) -110 + -25x = (8 * -3 + 8x * -3) -110 + -25x = (-24 + -24x) Solving -110 + -25x = -24 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -110 + -25x + 24x = -24 + -24x + 24x Combine like terms: -25x + 24x = -1x -110 + -1x = -24 + -24x + 24x Combine like terms: -24x + 24x = 0 -110 + -1x = -24 + 0 -110 + -1x = -24 Add '110' to each side of the equation. -110 + 110 + -1x = -24 + 110 Combine like terms: -110 + 110 = 0 0 + -1x = -24 + 110 -1x = -24 + 110 Combine like terms: -24 + 110 = 86 -1x = 86 Divide each side by '-1'. x = -86 Simplifying x = -86
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