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Simplifying 4(8x + -2) + -8 = 3(7x + -4) + -20 Reorder the terms: 4(-2 + 8x) + -8 = 3(7x + -4) + -20 (-2 * 4 + 8x * 4) + -8 = 3(7x + -4) + -20 (-8 + 32x) + -8 = 3(7x + -4) + -20 Reorder the terms: -8 + -8 + 32x = 3(7x + -4) + -20 Combine like terms: -8 + -8 = -16 -16 + 32x = 3(7x + -4) + -20 Reorder the terms: -16 + 32x = 3(-4 + 7x) + -20 -16 + 32x = (-4 * 3 + 7x * 3) + -20 -16 + 32x = (-12 + 21x) + -20 Reorder the terms: -16 + 32x = -12 + -20 + 21x Combine like terms: -12 + -20 = -32 -16 + 32x = -32 + 21x Solving -16 + 32x = -32 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -16 + 32x + -21x = -32 + 21x + -21x Combine like terms: 32x + -21x = 11x -16 + 11x = -32 + 21x + -21x Combine like terms: 21x + -21x = 0 -16 + 11x = -32 + 0 -16 + 11x = -32 Add '16' to each side of the equation. -16 + 16 + 11x = -32 + 16 Combine like terms: -16 + 16 = 0 0 + 11x = -32 + 16 11x = -32 + 16 Combine like terms: -32 + 16 = -16 11x = -16 Divide each side by '11'. x = -1.454545455 Simplifying x = -1.454545455
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