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Simplifying 5x + 21 = 7(x + -13) Reorder the terms: 21 + 5x = 7(x + -13) Reorder the terms: 21 + 5x = 7(-13 + x) 21 + 5x = (-13 * 7 + x * 7) 21 + 5x = (-91 + 7x) Solving 21 + 5x = -91 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 21 + 5x + -7x = -91 + 7x + -7x Combine like terms: 5x + -7x = -2x 21 + -2x = -91 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -2x = -91 + 0 21 + -2x = -91 Add '-21' to each side of the equation. 21 + -21 + -2x = -91 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = -91 + -21 -2x = -91 + -21 Combine like terms: -91 + -21 = -112 -2x = -112 Divide each side by '-2'. x = 56 Simplifying x = 56
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