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Simplifying -1x + 7 = -4(x + -7) Reorder the terms: 7 + -1x = -4(x + -7) Reorder the terms: 7 + -1x = -4(-7 + x) 7 + -1x = (-7 * -4 + x * -4) 7 + -1x = (28 + -4x) Solving 7 + -1x = 28 + -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 + -1x + 4x = 28 + -4x + 4x Combine like terms: -1x + 4x = 3x 7 + 3x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 3x = 28 + 0 7 + 3x = 28 Add '-7' to each side of the equation. 7 + -7 + 3x = 28 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 28 + -7 3x = 28 + -7 Combine like terms: 28 + -7 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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