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Simplifying -3x + -22(x + 5) = -6(4x + 8) Reorder the terms: -3x + -22(5 + x) = -6(4x + 8) -3x + (5 * -22 + x * -22) = -6(4x + 8) -3x + (-110 + -22x) = -6(4x + 8) Reorder the terms: -110 + -3x + -22x = -6(4x + 8) Combine like terms: -3x + -22x = -25x -110 + -25x = -6(4x + 8) Reorder the terms: -110 + -25x = -6(8 + 4x) -110 + -25x = (8 * -6 + 4x * -6) -110 + -25x = (-48 + -24x) Solving -110 + -25x = -48 + -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 = -48 + -24x + 24x Combine like terms: -25x + 24x = -1x -110 + -1x = -48 + -24x + 24x Combine like terms: -24x + 24x = 0 -110 + -1x = -48 + 0 -110 + -1x = -48 Add '110' to each side of the equation. -110 + 110 + -1x = -48 + 110 Combine like terms: -110 + 110 = 0 0 + -1x = -48 + 110 -1x = -48 + 110 Combine like terms: -48 + 110 = 62 -1x = 62 Divide each side by '-1'. x = -62 Simplifying x = -62
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