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Simplifying -4(x + -7) = -3x + 34 Reorder the terms: -4(-7 + x) = -3x + 34 (-7 * -4 + x * -4) = -3x + 34 (28 + -4x) = -3x + 34 Reorder the terms: 28 + -4x = 34 + -3x Solving 28 + -4x = 34 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 28 + -4x + 3x = 34 + -3x + 3x Combine like terms: -4x + 3x = -1x 28 + -1x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 28 + -1x = 34 + 0 28 + -1x = 34 Add '-28' to each side of the equation. 28 + -28 + -1x = 34 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 34 + -28 -1x = 34 + -28 Combine like terms: 34 + -28 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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