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Simplifying 7(3 + -1x) + x = 22 + 2x (3 * 7 + -1x * 7) + x = 22 + 2x (21 + -7x) + x = 22 + 2x Combine like terms: -7x + x = -6x 21 + -6x = 22 + 2x Solving 21 + -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. 21 + -6x + -2x = 22 + 2x + -2x Combine like terms: -6x + -2x = -8x 21 + -8x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -8x = 22 + 0 21 + -8x = 22 Add '-21' to each side of the equation. 21 + -21 + -8x = 22 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = 22 + -21 -8x = 22 + -21 Combine like terms: 22 + -21 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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