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Simplifying 13(x + 4) = 40 + -2(x + -7) Reorder the terms: 13(4 + x) = 40 + -2(x + -7) (4 * 13 + x * 13) = 40 + -2(x + -7) (52 + 13x) = 40 + -2(x + -7) Reorder the terms: 52 + 13x = 40 + -2(-7 + x) 52 + 13x = 40 + (-7 * -2 + x * -2) 52 + 13x = 40 + (14 + -2x) Combine like terms: 40 + 14 = 54 52 + 13x = 54 + -2x Solving 52 + 13x = 54 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 52 + 13x + 2x = 54 + -2x + 2x Combine like terms: 13x + 2x = 15x 52 + 15x = 54 + -2x + 2x Combine like terms: -2x + 2x = 0 52 + 15x = 54 + 0 52 + 15x = 54 Add '-52' to each side of the equation. 52 + -52 + 15x = 54 + -52 Combine like terms: 52 + -52 = 0 0 + 15x = 54 + -52 15x = 54 + -52 Combine like terms: 54 + -52 = 2 15x = 2 Divide each side by '15'. x = 0.1333333333 Simplifying x = 0.1333333333
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