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Simplifying (5x + -3) + 1 = 28 + -1(6 + -13x) + 6 Reorder the terms: (-3 + 5x) + 1 = 28 + -1(6 + -13x) + 6 Remove parenthesis around (-3 + 5x) -3 + 5x + 1 = 28 + -1(6 + -13x) + 6 Reorder the terms: -3 + 1 + 5x = 28 + -1(6 + -13x) + 6 Combine like terms: -3 + 1 = -2 -2 + 5x = 28 + -1(6 + -13x) + 6 -2 + 5x = 28 + (6 * -1 + -13x * -1) + 6 -2 + 5x = 28 + (-6 + 13x) + 6 Reorder the terms: -2 + 5x = 28 + -6 + 6 + 13x Combine like terms: 28 + -6 = 22 -2 + 5x = 22 + 6 + 13x Combine like terms: 22 + 6 = 28 -2 + 5x = 28 + 13x Solving -2 + 5x = 28 + 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. -2 + 5x + -13x = 28 + 13x + -13x Combine like terms: 5x + -13x = -8x -2 + -8x = 28 + 13x + -13x Combine like terms: 13x + -13x = 0 -2 + -8x = 28 + 0 -2 + -8x = 28 Add '2' to each side of the equation. -2 + 2 + -8x = 28 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 28 + 2 -8x = 28 + 2 Combine like terms: 28 + 2 = 30 -8x = 30 Divide each side by '-8'. x = -3.75 Simplifying x = -3.75
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