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Simplifying 3(5x + -3) + 1 = 28 + -1(6 + -13x) + 6 Reorder the terms: 3(-3 + 5x) + 1 = 28 + -1(6 + -13x) + 6 (-3 * 3 + 5x * 3) + 1 = 28 + -1(6 + -13x) + 6 (-9 + 15x) + 1 = 28 + -1(6 + -13x) + 6 Reorder the terms: -9 + 1 + 15x = 28 + -1(6 + -13x) + 6 Combine like terms: -9 + 1 = -8 -8 + 15x = 28 + -1(6 + -13x) + 6 -8 + 15x = 28 + (6 * -1 + -13x * -1) + 6 -8 + 15x = 28 + (-6 + 13x) + 6 Reorder the terms: -8 + 15x = 28 + -6 + 6 + 13x Combine like terms: 28 + -6 = 22 -8 + 15x = 22 + 6 + 13x Combine like terms: 22 + 6 = 28 -8 + 15x = 28 + 13x Solving -8 + 15x = 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. -8 + 15x + -13x = 28 + 13x + -13x Combine like terms: 15x + -13x = 2x -8 + 2x = 28 + 13x + -13x Combine like terms: 13x + -13x = 0 -8 + 2x = 28 + 0 -8 + 2x = 28 Add '8' to each side of the equation. -8 + 8 + 2x = 28 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 28 + 8 2x = 28 + 8 Combine like terms: 28 + 8 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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