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Simplifying -22 + -3(2x + 6) = 8(4 + -3x) Reorder the terms: -22 + -3(6 + 2x) = 8(4 + -3x) -22 + (6 * -3 + 2x * -3) = 8(4 + -3x) -22 + (-18 + -6x) = 8(4 + -3x) Combine like terms: -22 + -18 = -40 -40 + -6x = 8(4 + -3x) -40 + -6x = (4 * 8 + -3x * 8) -40 + -6x = (32 + -24x) Solving -40 + -6x = 32 + -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. -40 + -6x + 24x = 32 + -24x + 24x Combine like terms: -6x + 24x = 18x -40 + 18x = 32 + -24x + 24x Combine like terms: -24x + 24x = 0 -40 + 18x = 32 + 0 -40 + 18x = 32 Add '40' to each side of the equation. -40 + 40 + 18x = 32 + 40 Combine like terms: -40 + 40 = 0 0 + 18x = 32 + 40 18x = 32 + 40 Combine like terms: 32 + 40 = 72 18x = 72 Divide each side by '18'. x = 4 Simplifying x = 4
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