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Simplifying 3(2x + -9) + 4 = 8(x + -5) + -7(2x + -9) Reorder the terms: 3(-9 + 2x) + 4 = 8(x + -5) + -7(2x + -9) (-9 * 3 + 2x * 3) + 4 = 8(x + -5) + -7(2x + -9) (-27 + 6x) + 4 = 8(x + -5) + -7(2x + -9) Reorder the terms: -27 + 4 + 6x = 8(x + -5) + -7(2x + -9) Combine like terms: -27 + 4 = -23 -23 + 6x = 8(x + -5) + -7(2x + -9) Reorder the terms: -23 + 6x = 8(-5 + x) + -7(2x + -9) -23 + 6x = (-5 * 8 + x * 8) + -7(2x + -9) -23 + 6x = (-40 + 8x) + -7(2x + -9) Reorder the terms: -23 + 6x = -40 + 8x + -7(-9 + 2x) -23 + 6x = -40 + 8x + (-9 * -7 + 2x * -7) -23 + 6x = -40 + 8x + (63 + -14x) Reorder the terms: -23 + 6x = -40 + 63 + 8x + -14x Combine like terms: -40 + 63 = 23 -23 + 6x = 23 + 8x + -14x Combine like terms: 8x + -14x = -6x -23 + 6x = 23 + -6x Solving -23 + 6x = 23 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -23 + 6x + 6x = 23 + -6x + 6x Combine like terms: 6x + 6x = 12x -23 + 12x = 23 + -6x + 6x Combine like terms: -6x + 6x = 0 -23 + 12x = 23 + 0 -23 + 12x = 23 Add '23' to each side of the equation. -23 + 23 + 12x = 23 + 23 Combine like terms: -23 + 23 = 0 0 + 12x = 23 + 23 12x = 23 + 23 Combine like terms: 23 + 23 = 46 12x = 46 Divide each side by '12'. x = 3.833333333 Simplifying x = 3.833333333
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