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Simplifying -1x + 34 = 3(x + -5) + 5 Reorder the terms: 34 + -1x = 3(x + -5) + 5 Reorder the terms: 34 + -1x = 3(-5 + x) + 5 34 + -1x = (-5 * 3 + x * 3) + 5 34 + -1x = (-15 + 3x) + 5 Reorder the terms: 34 + -1x = -15 + 5 + 3x Combine like terms: -15 + 5 = -10 34 + -1x = -10 + 3x Solving 34 + -1x = -10 + 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. 34 + -1x + -3x = -10 + 3x + -3x Combine like terms: -1x + -3x = -4x 34 + -4x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 34 + -4x = -10 + 0 34 + -4x = -10 Add '-34' to each side of the equation. 34 + -34 + -4x = -10 + -34 Combine like terms: 34 + -34 = 0 0 + -4x = -10 + -34 -4x = -10 + -34 Combine like terms: -10 + -34 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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