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Simplifying 4x + 2(x + 5) = -2x + -22 Reorder the terms: 4x + 2(5 + x) = -2x + -22 4x + (5 * 2 + x * 2) = -2x + -22 4x + (10 + 2x) = -2x + -22 Reorder the terms: 10 + 4x + 2x = -2x + -22 Combine like terms: 4x + 2x = 6x 10 + 6x = -2x + -22 Reorder the terms: 10 + 6x = -22 + -2x Solving 10 + 6x = -22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + 6x + 2x = -22 + -2x + 2x Combine like terms: 6x + 2x = 8x 10 + 8x = -22 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 8x = -22 + 0 10 + 8x = -22 Add '-10' to each side of the equation. 10 + -10 + 8x = -22 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = -22 + -10 8x = -22 + -10 Combine like terms: -22 + -10 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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