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Simplifying 4 + 2[3 + -5(x + 4) + 2x] + -7x = 8(9 + -1x) + 3 Reorder the terms: 4 + 2[3 + -5(4 + x) + 2x] + -7x = 8(9 + -1x) + 3 4 + 2[3 + (4 * -5 + x * -5) + 2x] + -7x = 8(9 + -1x) + 3 4 + 2[3 + (-20 + -5x) + 2x] + -7x = 8(9 + -1x) + 3 Combine like terms: 3 + -20 = -17 4 + 2[-17 + -5x + 2x] + -7x = 8(9 + -1x) + 3 Combine like terms: -5x + 2x = -3x 4 + 2[-17 + -3x] + -7x = 8(9 + -1x) + 3 4 + [-17 * 2 + -3x * 2] + -7x = 8(9 + -1x) + 3 4 + [-34 + -6x] + -7x = 8(9 + -1x) + 3 Combine like terms: 4 + -34 = -30 -30 + -6x + -7x = 8(9 + -1x) + 3 Combine like terms: -6x + -7x = -13x -30 + -13x = 8(9 + -1x) + 3 -30 + -13x = (9 * 8 + -1x * 8) + 3 -30 + -13x = (72 + -8x) + 3 Reorder the terms: -30 + -13x = 72 + 3 + -8x Combine like terms: 72 + 3 = 75 -30 + -13x = 75 + -8x Solving -30 + -13x = 75 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -30 + -13x + 8x = 75 + -8x + 8x Combine like terms: -13x + 8x = -5x -30 + -5x = 75 + -8x + 8x Combine like terms: -8x + 8x = 0 -30 + -5x = 75 + 0 -30 + -5x = 75 Add '30' to each side of the equation. -30 + 30 + -5x = 75 + 30 Combine like terms: -30 + 30 = 0 0 + -5x = 75 + 30 -5x = 75 + 30 Combine like terms: 75 + 30 = 105 -5x = 105 Divide each side by '-5'. x = -21 Simplifying x = -21
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