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Simplifying -4(4 + 6x) = 22 + -5x (4 * -4 + 6x * -4) = 22 + -5x (-16 + -24x) = 22 + -5x Solving -16 + -24x = 22 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -16 + -24x + 5x = 22 + -5x + 5x Combine like terms: -24x + 5x = -19x -16 + -19x = 22 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + -19x = 22 + 0 -16 + -19x = 22 Add '16' to each side of the equation. -16 + 16 + -19x = 22 + 16 Combine like terms: -16 + 16 = 0 0 + -19x = 22 + 16 -19x = 22 + 16 Combine like terms: 22 + 16 = 38 -19x = 38 Divide each side by '-19'. x = -2 Simplifying x = -2
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