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Simplifying 7(3 + -1x) + x = 5 + -2x (3 * 7 + -1x * 7) + x = 5 + -2x (21 + -7x) + x = 5 + -2x Combine like terms: -7x + x = -6x 21 + -6x = 5 + -2x Solving 21 + -6x = 5 + -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 = 5 + -2x + 2x Combine like terms: -6x + 2x = -4x 21 + -4x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 21 + -4x = 5 + 0 21 + -4x = 5 Add '-21' to each side of the equation. 21 + -21 + -4x = 5 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = 5 + -21 -4x = 5 + -21 Combine like terms: 5 + -21 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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