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Simplifying -10(x + 4) + 46 = -17 + -1(17) Reorder the terms: -10(4 + x) + 46 = -17 + -1(17) (4 * -10 + x * -10) + 46 = -17 + -1(17) (-40 + -10x) + 46 = -17 + -1(17) Reorder the terms: -40 + 46 + -10x = -17 + -1(17) Combine like terms: -40 + 46 = 6 6 + -10x = -17 + -1(17) Multiply -1 * 17 6 + -10x = -17 + -17 Combine like terms: -17 + -17 = -34 6 + -10x = -34 Solving 6 + -10x = -34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -10x = -34 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = -34 + -6 -10x = -34 + -6 Combine like terms: -34 + -6 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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