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Simplifying 34 + -1x = -4(x + -7) Reorder the terms: 34 + -1x = -4(-7 + x) 34 + -1x = (-7 * -4 + x * -4) 34 + -1x = (28 + -4x) Solving 34 + -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. 34 + -1x + 4x = 28 + -4x + 4x Combine like terms: -1x + 4x = 3x 34 + 3x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 34 + 3x = 28 + 0 34 + 3x = 28 Add '-34' to each side of the equation. 34 + -34 + 3x = 28 + -34 Combine like terms: 34 + -34 = 0 0 + 3x = 28 + -34 3x = 28 + -34 Combine like terms: 28 + -34 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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