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Simplifying 4(2x + -3) + -5 = 3x + 28 Reorder the terms: 4(-3 + 2x) + -5 = 3x + 28 (-3 * 4 + 2x * 4) + -5 = 3x + 28 (-12 + 8x) + -5 = 3x + 28 Reorder the terms: -12 + -5 + 8x = 3x + 28 Combine like terms: -12 + -5 = -17 -17 + 8x = 3x + 28 Reorder the terms: -17 + 8x = 28 + 3x Solving -17 + 8x = 28 + 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. -17 + 8x + -3x = 28 + 3x + -3x Combine like terms: 8x + -3x = 5x -17 + 5x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 5x = 28 + 0 -17 + 5x = 28 Add '17' to each side of the equation. -17 + 17 + 5x = 28 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 28 + 17 5x = 28 + 17 Combine like terms: 28 + 17 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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