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Simplifying 5(7 + -1x) + 6x = 21 + 3x (7 * 5 + -1x * 5) + 6x = 21 + 3x (35 + -5x) + 6x = 21 + 3x Combine like terms: -5x + 6x = 1x 35 + 1x = 21 + 3x Solving 35 + 1x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 35 + 1x + -3x = 21 + 3x + -3x Combine like terms: 1x + -3x = -2x 35 + -2x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + -2x = 21 + 0 35 + -2x = 21 Add '-35' to each side of the equation. 35 + -35 + -2x = 21 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = 21 + -35 -2x = 21 + -35 Combine like terms: 21 + -35 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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