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Simplifying 4(x + 7) + -36 = 13(x + -2) Reorder the terms: 4(7 + x) + -36 = 13(x + -2) (7 * 4 + x * 4) + -36 = 13(x + -2) (28 + 4x) + -36 = 13(x + -2) Reorder the terms: 28 + -36 + 4x = 13(x + -2) Combine like terms: 28 + -36 = -8 -8 + 4x = 13(x + -2) Reorder the terms: -8 + 4x = 13(-2 + x) -8 + 4x = (-2 * 13 + x * 13) -8 + 4x = (-26 + 13x) Solving -8 + 4x = -26 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -8 + 4x + -13x = -26 + 13x + -13x Combine like terms: 4x + -13x = -9x -8 + -9x = -26 + 13x + -13x Combine like terms: 13x + -13x = 0 -8 + -9x = -26 + 0 -8 + -9x = -26 Add '8' to each side of the equation. -8 + 8 + -9x = -26 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = -26 + 8 -9x = -26 + 8 Combine like terms: -26 + 8 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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