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Simplifying -4(x + 10) = -7x + 65 Reorder the terms: -4(10 + x) = -7x + 65 (10 * -4 + x * -4) = -7x + 65 (-40 + -4x) = -7x + 65 Reorder the terms: -40 + -4x = 65 + -7x Solving -40 + -4x = 65 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -40 + -4x + 7x = 65 + -7x + 7x Combine like terms: -4x + 7x = 3x -40 + 3x = 65 + -7x + 7x Combine like terms: -7x + 7x = 0 -40 + 3x = 65 + 0 -40 + 3x = 65 Add '40' to each side of the equation. -40 + 40 + 3x = 65 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = 65 + 40 3x = 65 + 40 Combine like terms: 65 + 40 = 105 3x = 105 Divide each side by '3'. x = 35 Simplifying x = 35
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