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Simplifying 5(-7x + 3) = x + -21 Reorder the terms: 5(3 + -7x) = x + -21 (3 * 5 + -7x * 5) = x + -21 (15 + -35x) = x + -21 Reorder the terms: 15 + -35x = -21 + x Solving 15 + -35x = -21 + 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. 15 + -35x + -1x = -21 + x + -1x Combine like terms: -35x + -1x = -36x 15 + -36x = -21 + x + -1x Combine like terms: x + -1x = 0 15 + -36x = -21 + 0 15 + -36x = -21 Add '-15' to each side of the equation. 15 + -15 + -36x = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -36x = -21 + -15 -36x = -21 + -15 Combine like terms: -21 + -15 = -36 -36x = -36 Divide each side by '-36'. x = 1 Simplifying x = 1
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