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Simplifying 7 = 3(x + -7) + -7x Reorder the terms: 7 = 3(-7 + x) + -7x 7 = (-7 * 3 + x * 3) + -7x 7 = (-21 + 3x) + -7x Combine like terms: 3x + -7x = -4x 7 = -21 + -4x Solving 7 = -21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + 4x = -21 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 4x = -21 + 0 7 + 4x = -21 Add '-7' to each side of the equation. 7 + -7 + 4x = -21 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = -21 + -7 4x = -21 + -7 Combine like terms: -21 + -7 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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