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Simplifying 5x + -13 + 2x = 28 + -1(3x + -4) Reorder the terms: -13 + 5x + 2x = 28 + -1(3x + -4) Combine like terms: 5x + 2x = 7x -13 + 7x = 28 + -1(3x + -4) Reorder the terms: -13 + 7x = 28 + -1(-4 + 3x) -13 + 7x = 28 + (-4 * -1 + 3x * -1) -13 + 7x = 28 + (4 + -3x) Combine like terms: 28 + 4 = 32 -13 + 7x = 32 + -3x Solving -13 + 7x = 32 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -13 + 7x + 3x = 32 + -3x + 3x Combine like terms: 7x + 3x = 10x -13 + 10x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 -13 + 10x = 32 + 0 -13 + 10x = 32 Add '13' to each side of the equation. -13 + 13 + 10x = 32 + 13 Combine like terms: -13 + 13 = 0 0 + 10x = 32 + 13 10x = 32 + 13 Combine like terms: 32 + 13 = 45 10x = 45 Divide each side by '10'. x = 4.5 Simplifying x = 4.5
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