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Simplifying 15 + -7x + -9x + -28 + 14x + -17 = 21 + -3x + 13 + -9x + 8x Reorder the terms: 15 + -28 + -17 + -7x + -9x + 14x = 21 + -3x + 13 + -9x + 8x Combine like terms: 15 + -28 = -13 -13 + -17 + -7x + -9x + 14x = 21 + -3x + 13 + -9x + 8x Combine like terms: -13 + -17 = -30 -30 + -7x + -9x + 14x = 21 + -3x + 13 + -9x + 8x Combine like terms: -7x + -9x = -16x -30 + -16x + 14x = 21 + -3x + 13 + -9x + 8x Combine like terms: -16x + 14x = -2x -30 + -2x = 21 + -3x + 13 + -9x + 8x Reorder the terms: -30 + -2x = 21 + 13 + -3x + -9x + 8x Combine like terms: 21 + 13 = 34 -30 + -2x = 34 + -3x + -9x + 8x Combine like terms: -3x + -9x = -12x -30 + -2x = 34 + -12x + 8x Combine like terms: -12x + 8x = -4x -30 + -2x = 34 + -4x Solving -30 + -2x = 34 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -30 + -2x + 4x = 34 + -4x + 4x Combine like terms: -2x + 4x = 2x -30 + 2x = 34 + -4x + 4x Combine like terms: -4x + 4x = 0 -30 + 2x = 34 + 0 -30 + 2x = 34 Add '30' to each side of the equation. -30 + 30 + 2x = 34 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = 34 + 30 2x = 34 + 30 Combine like terms: 34 + 30 = 64 2x = 64 Divide each side by '2'. x = 32 Simplifying x = 32
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