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Simplifying 22 + -2x + 5(x + -2) = x + -4 Reorder the terms: 22 + -2x + 5(-2 + x) = x + -4 22 + -2x + (-2 * 5 + x * 5) = x + -4 22 + -2x + (-10 + 5x) = x + -4 Reorder the terms: 22 + -10 + -2x + 5x = x + -4 Combine like terms: 22 + -10 = 12 12 + -2x + 5x = x + -4 Combine like terms: -2x + 5x = 3x 12 + 3x = x + -4 Reorder the terms: 12 + 3x = -4 + x Solving 12 + 3x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 3x + -1x = -4 + x + -1x Combine like terms: 3x + -1x = 2x 12 + 2x = -4 + x + -1x Combine like terms: x + -1x = 0 12 + 2x = -4 + 0 12 + 2x = -4 Add '-12' to each side of the equation. 12 + -12 + 2x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -4 + -12 2x = -4 + -12 Combine like terms: -4 + -12 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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