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Simplifying 8(4x + -9) + 3(2x + 4) + -6 = 7 + -5(3x + 1) + -2x Reorder the terms: 8(-9 + 4x) + 3(2x + 4) + -6 = 7 + -5(3x + 1) + -2x (-9 * 8 + 4x * 8) + 3(2x + 4) + -6 = 7 + -5(3x + 1) + -2x (-72 + 32x) + 3(2x + 4) + -6 = 7 + -5(3x + 1) + -2x Reorder the terms: -72 + 32x + 3(4 + 2x) + -6 = 7 + -5(3x + 1) + -2x -72 + 32x + (4 * 3 + 2x * 3) + -6 = 7 + -5(3x + 1) + -2x -72 + 32x + (12 + 6x) + -6 = 7 + -5(3x + 1) + -2x Reorder the terms: -72 + 12 + -6 + 32x + 6x = 7 + -5(3x + 1) + -2x Combine like terms: -72 + 12 = -60 -60 + -6 + 32x + 6x = 7 + -5(3x + 1) + -2x Combine like terms: -60 + -6 = -66 -66 + 32x + 6x = 7 + -5(3x + 1) + -2x Combine like terms: 32x + 6x = 38x -66 + 38x = 7 + -5(3x + 1) + -2x Reorder the terms: -66 + 38x = 7 + -5(1 + 3x) + -2x -66 + 38x = 7 + (1 * -5 + 3x * -5) + -2x -66 + 38x = 7 + (-5 + -15x) + -2x Combine like terms: 7 + -5 = 2 -66 + 38x = 2 + -15x + -2x Combine like terms: -15x + -2x = -17x -66 + 38x = 2 + -17x Solving -66 + 38x = 2 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -66 + 38x + 17x = 2 + -17x + 17x Combine like terms: 38x + 17x = 55x -66 + 55x = 2 + -17x + 17x Combine like terms: -17x + 17x = 0 -66 + 55x = 2 + 0 -66 + 55x = 2 Add '66' to each side of the equation. -66 + 66 + 55x = 2 + 66 Combine like terms: -66 + 66 = 0 0 + 55x = 2 + 66 55x = 2 + 66 Combine like terms: 2 + 66 = 68 55x = 68 Divide each side by '55'. x = 1.236363636 Simplifying x = 1.236363636
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