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Simplifying 13(x + -4) = 7x + -10 Reorder the terms: 13(-4 + x) = 7x + -10 (-4 * 13 + x * 13) = 7x + -10 (-52 + 13x) = 7x + -10 Reorder the terms: -52 + 13x = -10 + 7x Solving -52 + 13x = -10 + 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. -52 + 13x + -7x = -10 + 7x + -7x Combine like terms: 13x + -7x = 6x -52 + 6x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -52 + 6x = -10 + 0 -52 + 6x = -10 Add '52' to each side of the equation. -52 + 52 + 6x = -10 + 52 Combine like terms: -52 + 52 = 0 0 + 6x = -10 + 52 6x = -10 + 52 Combine like terms: -10 + 52 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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