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Simplifying 5x + (2x + 4) + (x + -3) = 28 + (3x + -2) + -10 Reorder the terms: 5x + (4 + 2x) + (x + -3) = 28 + (3x + -2) + -10 Remove parenthesis around (4 + 2x) 5x + 4 + 2x + (x + -3) = 28 + (3x + -2) + -10 Reorder the terms: 5x + 4 + 2x + (-3 + x) = 28 + (3x + -2) + -10 Remove parenthesis around (-3 + x) 5x + 4 + 2x + -3 + x = 28 + (3x + -2) + -10 Reorder the terms: 4 + -3 + 5x + 2x + x = 28 + (3x + -2) + -10 Combine like terms: 4 + -3 = 1 1 + 5x + 2x + x = 28 + (3x + -2) + -10 Combine like terms: 5x + 2x = 7x 1 + 7x + x = 28 + (3x + -2) + -10 Combine like terms: 7x + x = 8x 1 + 8x = 28 + (3x + -2) + -10 Reorder the terms: 1 + 8x = 28 + (-2 + 3x) + -10 Remove parenthesis around (-2 + 3x) 1 + 8x = 28 + -2 + 3x + -10 Reorder the terms: 1 + 8x = 28 + -2 + -10 + 3x Combine like terms: 28 + -2 = 26 1 + 8x = 26 + -10 + 3x Combine like terms: 26 + -10 = 16 1 + 8x = 16 + 3x Solving 1 + 8x = 16 + 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. 1 + 8x + -3x = 16 + 3x + -3x Combine like terms: 8x + -3x = 5x 1 + 5x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 5x = 16 + 0 1 + 5x = 16 Add '-1' to each side of the equation. 1 + -1 + 5x = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 16 + -1 5x = 16 + -1 Combine like terms: 16 + -1 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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